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Finding the Fourth Proportional to 87.14, 120.15 and 58.12

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Solution

The fourth proportional to 87.14, 120.15 and 58.12 is: 80.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.14 : 120.15 = 58.12 : x
  2. Step 2: Convert to fraction form
    87.14/120.15 = 58.12/x
  3. Step 3: Cross multiply
    87.14x = 120.15 × 58.12
  4. Step 4: Simplify right side
    87.14x = 6,982.82
  5. Step 5: Solve for x
    x = 6,982.82/87.14
  6. Step 6: Final answer
    x = 80.13

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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.