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What is the fourth proportional to6,8,21\sqrt{6}, \sqrt{8}, \sqrt{21}6​,8​,21​ ?
Question

What is the fourth proportional to6,8,21\sqrt{6}, \sqrt{8}, \sqrt{21} ?

A.

37\sqrt{7}

B.

27\sqrt{7}

C.

87\sqrt{7}

D.

57\sqrt{7}

Correct option is B

Concept Used:

Fourth proportional=b×ca\text{Fourth proportional} = \frac{b \times c}{a} \\[10pt]​​

Solution:

Fourth Proportional=8×216=27\text{Fourth Proportional}= \frac{\sqrt{8} \times \sqrt{21}}{\sqrt{6}} = 2\sqrt{7}​​

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