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Finding the Fourth Proportional to 80.92, 111.81 and 80.92

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Solution

The fourth proportional to 80.92, 111.81 and 80.92 is: 111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.92 : 111.81 = 80.92 : x
  2. Step 2: Convert to fraction form
    80.92/111.81 = 80.92/x
  3. Step 3: Cross multiply
    80.92x = 111.81 × 80.92
  4. Step 4: Simplify right side
    80.92x = 9,047.67
  5. Step 5: Solve for x
    x = 9,047.67/80.92
  6. Step 6: Final answer
    x = 111.81

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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.