What is the fourth proportional to the numbers 8, 66 and 112?
924
The correct answer is 924.
To find b, b^2 = ac \implies b = \sqrt{ac} . Note that the mean proportional is only defined for positive numbers when dealing with real numbers. In our original problem, we dealt with distinct numbers 8, 66, and 112, seeking a fourth distinct number x to form a non-continuous proportion 8:66 = 112:x. This is why the concept of the fourth proportional was used.
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