What is the value of x, if it is 2% of the fourth proportional to 6, 7 and 36?

A 0.23

B 0.42

C 0.84

D 0.92

E 0.99

Solution

Correct Answer: Option C

Let the fourth proportional to 6, 7 and 36 be a

\(\begin{array}{l} \Rightarrow \frac{6}{7} = \frac{{36}}{a}\\ \Rightarrow a = \frac{{7 \times 36}}{6}\\ \Rightarrow a = 42\\ \Rightarrow x = \frac{2}{{100}} \times 42 = \frac{{84}}{{100}} = 0.84 \end{array}\)

Hence, x = 0.84

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