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Finding the Fourth Proportional to 87.38, 130.55 and 84.35

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Solution

The fourth proportional to 87.38, 130.55 and 84.35 is: 126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.38 : 130.55 = 84.35 : x
  2. Step 2: Convert to fraction form
    87.38/130.55 = 84.35/x
  3. Step 3: Cross multiply
    87.38x = 130.55 × 84.35
  4. Step 4: Simplify right side
    87.38x = 11,010.82
  5. Step 5: Solve for x
    x = 11,010.82/87.38
  6. Step 6: Final answer
    x = 126.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.