Question 1162695
First piece = x
Second piece = 2x - 6
Third piece = x + 5
Fourth piece = (2x - 6)/2 = x - 3
<pr>
(x) + (2x - 6) + (x + 5) + (x - 3) = 96
<pr>
5x - 4 = 96
<pr>
5x = 100
<pr>
x = 20
<pr>
The fourth piece is (x - 3) inches long.  Plugging in x = 20, <b>that comes out to 17 inches.</b>