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Finding the Fourth Proportional to 87.39, 119.70 and 84.78

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Solution

The fourth proportional to 87.39, 119.70 and 84.78 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.39 : 119.70 = 84.78 : x
  2. Step 2: Convert to fraction form
    87.39/119.70 = 84.78/x
  3. Step 3: Cross multiply
    87.39x = 119.70 × 84.78
  4. Step 4: Simplify right side
    87.39x = 10,148.17
  5. Step 5: Solve for x
    x = 10,148.17/87.39
  6. Step 6: Final answer
    x = 116.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.