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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