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    The fourth proportional to 5, 35 and x is 84, find the value of x.
    Question

    The fourth proportional to 5, 35 and x is 84, find the value of x.

    A.

    294

    B.

    12

    C.

    588

    D.

    14

    Correct option is B

    Given:

    1st Proportional(a) = 5
    2nd Proportional(b) = 35
    3rd Proportional(c) = x
    Formula Used:
    4th Proportional(d) = bca\frac{bc}{a}​​
    Solution:
    According to the formula, 
    =>4th Proportional (d)=b×ca84=35×x5 x=84×535=12\Rightarrow \text{4th Proportional (d)} = \frac{b \times c}{a}\\84 = \frac{35 \times x}{5}\\\ \\x = \frac{84 \times 5}{35} = 12\\​​

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