document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37859>Question 37859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> alice changes size several times. The ratio of her original hieght to her second height is 24 to 5. The ratio of her second height to her third height is 1 to 12. The ratio of her original height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shorest height, in inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23364 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, good problem.<BR>\n" );
document.write( "Let's call the heights H1 thru H4.<BR>\n" );
document.write( "So we have<BR>\n" );
document.write( "H1/H2 = 24/5<BR>\n" );
document.write( "H2/H3 = 1/12<BR>\n" );
document.write( "Therefore if we multiply these, we have<BR>\n" );
document.write( "H1/H3 = 2/5<BR>\n" );
document.write( "Finally we are given<BR>\n" );
document.write( "H1/H4 = 16/1.<BR>\n" );
document.write( "By logic we can see that H3 is the tallest.<BR>\n" );
document.write( "Thus if H3 = 10 feet, H1 = 4 feet<BR>\n" );
document.write( "And from that,<BR>\n" );
document.write( "H2 = 1/12 (10 feet) = 5/6 feet = 10 inches<BR>\n" );
document.write( "and finally<BR>\n" );
document.write( "H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot = <BR>\n" );
document.write( "3 inches, the answer...<BR>\n" );
document.write( "Like that problem...may steal it for my students... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );