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Finding the Fourth Proportional to 83.72, 125.02 and 71.56

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Solution

The fourth proportional to 83.72, 125.02 and 71.56 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 125.02 = 71.56 : x
  2. Step 2: Convert to fraction form
    83.72/125.02 = 71.56/x
  3. Step 3: Cross multiply
    83.72x = 125.02 × 71.56
  4. Step 4: Simplify right side
    83.72x = 8,946.43
  5. Step 5: Solve for x
    x = 8,946.43/83.72
  6. Step 6: Final answer
    x = 106.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.