document.write( "Question 1106180: Points B and C lie on segment AD. Find AC if:
\n" ); document.write( "AB/BD = 3/4 , AC/ CD = 5/6 , and BD = 66.
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\n" ); document.write( "Since AB/BD = 3/4, let AB=3x and BD=4x.
\n" ); document.write( "We know BD = 66, so
\n" ); document.write( "\"4x=66\"; \"x=16.5\"; \"AB+=+3x+=+49.5\"
\n" ); document.write( "And then we know \"AD+=+AB%2BBD+=+66%2B49.5+=+115.5\"

\n" ); document.write( "Since AC/CD = 5/6, let AC=5y and CD=6y. Then since AC+CD = AD,
\n" ); document.write( "\"5y%2B6y=115.5\"; \"11y+=+115.5\"; \"y+=+10.5\"
\n" ); document.write( "And then we know \"AC+=+5y+=+52.5\"

\n" ); document.write( "The length of AC is 52.5.
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