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Finding the Fourth Proportional to 80.73, 111.49 and 76.42

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Solution

The fourth proportional to 80.73, 111.49 and 76.42 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.73 : 111.49 = 76.42 : x
  2. Step 2: Convert to fraction form
    80.73/111.49 = 76.42/x
  3. Step 3: Cross multiply
    80.73x = 111.49 × 76.42
  4. Step 4: Simplify right side
    80.73x = 8,519.13
  5. Step 5: Solve for x
    x = 8,519.13/80.73
  6. Step 6: Final answer
    x = 105.53

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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.