A pipe that is 136 inches long is cut into three parts whose lengths are in the ratio 3 : 5 : 9. Find the length of the shortest piece.

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3x+5x+9x=136

17x=136

x=8

The shortest piece is 3x, or 24 inches long.
3+5+9=17
136÷17=8
8
×3=24
The shortest piece is 
24 inches long.