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Finding the Fourth Proportional to 87, 120.12 and 61.16

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Solution

The fourth proportional to 87, 120.12 and 61.16 is: 84.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 120.12 = 61.16 : x
  2. Step 2: Convert to fraction form
    87/120.12 = 61.16/x
  3. Step 3: Cross multiply
    87x = 120.12 × 61.16
  4. Step 4: Simplify right side
    87x = 7,346.54
  5. Step 5: Solve for x
    x = 7,346.54/87
  6. Step 6: Final answer
    x = 84.44

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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.