If 60 is the fourth proportional to 8, 15 and x; find x.

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Solution

In $a : b :: c : d; d$ is the fourth proportional.
For, $8 : 15 :: x : 60$ , product of extremes $=$ product of means
$8 \times 60 = 15 \times x$
$x = \frac{8 \times 60}{15} = 32$

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