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Finding the Fourth Proportional to 86.14, 129.12 and 81.87

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Solution

The fourth proportional to 86.14, 129.12 and 81.87 is: 122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.14 : 129.12 = 81.87 : x
  2. Step 2: Convert to fraction form
    86.14/129.12 = 81.87/x
  3. Step 3: Cross multiply
    86.14x = 129.12 × 81.87
  4. Step 4: Simplify right side
    86.14x = 10,571.05
  5. Step 5: Solve for x
    x = 10,571.05/86.14
  6. Step 6: Final answer
    x = 122.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.