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Finding the Fourth Proportional to 102.48, 141.27 and 81.73

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Solution

The fourth proportional to 102.48, 141.27 and 81.73 is: 112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 141.27 = 81.73 : x
  2. Step 2: Convert to fraction form
    102.48/141.27 = 81.73/x
  3. Step 3: Cross multiply
    102.48x = 141.27 × 81.73
  4. Step 4: Simplify right side
    102.48x = 11,545.07
  5. Step 5: Solve for x
    x = 11,545.07/102.48
  6. Step 6: Final answer
    x = 112.65

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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.