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Finding the Fourth Proportional to 115.89, 160.01 and 76.57

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Solution

The fourth proportional to 115.89, 160.01 and 76.57 is: 105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 160.01 = 76.57 : x
  2. Step 2: Convert to fraction form
    115.89/160.01 = 76.57/x
  3. Step 3: Cross multiply
    115.89x = 160.01 × 76.57
  4. Step 4: Simplify right side
    115.89x = 12,251.97
  5. Step 5: Solve for x
    x = 12,251.97/115.89
  6. Step 6: Final answer
    x = 105.72

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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.