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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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