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Finding the Fourth Proportional to 151.09, 208.52 and 84.71

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Solution

The fourth proportional to 151.09, 208.52 and 84.71 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.09 : 208.52 = 84.71 : x
  2. Step 2: Convert to fraction form
    151.09/208.52 = 84.71/x
  3. Step 3: Cross multiply
    151.09x = 208.52 × 84.71
  4. Step 4: Simplify right side
    151.09x = 17,663.73
  5. Step 5: Solve for x
    x = 17,663.73/151.09
  6. Step 6: Final answer
    x = 116.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.