What is the value of x, if it is 4% of the fourth proportional to 5, 8 and 25?

A 1.23

B 1.42

C 1.6

D 0.92

Solution

Correct Answer: Option C

Let the fourth proportional to 5, 8 and 25 be a

\(\begin{array}{l} \Rightarrow \frac{5}{8} = \frac{{25}}{a}\\ \Rightarrow a = \frac{{8 \times 25}}{5}\\ \Rightarrow a = 40\\ \Rightarrow x = \frac{4}{{100}} \times 40 = \frac{{160}}{{100}} = 1.6 \end{array}\)

Hence, x = 1.6

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