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Finding the Fourth Proportional to 86.92, 130.17 and 81.86

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Solution

The fourth proportional to 86.92, 130.17 and 81.86 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.92 : 130.17 = 81.86 : x
  2. Step 2: Convert to fraction form
    86.92/130.17 = 81.86/x
  3. Step 3: Cross multiply
    86.92x = 130.17 × 81.86
  4. Step 4: Simplify right side
    86.92x = 10,655.37
  5. Step 5: Solve for x
    x = 10,655.37/86.92
  6. Step 6: Final answer
    x = 122.59

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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.