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Finding the Fourth Proportional to 115.92, 160.05 and 76.61

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Solution

The fourth proportional to 115.92, 160.05 and 76.61 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 160.05 = 76.61 : x
  2. Step 2: Convert to fraction form
    115.92/160.05 = 76.61/x
  3. Step 3: Cross multiply
    115.92x = 160.05 × 76.61
  4. Step 4: Simplify right side
    115.92x = 12,261.83
  5. Step 5: Solve for x
    x = 12,261.83/115.92
  6. Step 6: Final answer
    x = 105.78

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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.