Q.Find the fourth proportional of \(a, 2a^2, 3a^3\). (a) \(6a^3\) (b) \(6a^2\) (c) \(6a^4\) (d) \(6a\)
Answer: C
Let the fourth proportional be \(p\) \[ \therefore \frac{a}{2a^2} = \frac{3a^3}{p} \] So, \[ ap = 6a^5 \Rightarrow p = 6a^4 \]
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