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Find the fourth proportional to √10, √32, and √125

Question

Find the fourth proportional to √10, √32, and √125

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Solution

To find the fourth proportional to √10, √32, and √125, we use the formula for finding the fourth proportional of three given numbers, which is (b*c)/a.

Here, a = √10, b = √32, and c = √125.

So, the fourth proportional (d) = (√32 * √125) / √10

Solving this, we get:

d = √(32*125/10) d = √400 d = 20

So, the fourth proportional to √10, √32, and √125 is 20.

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