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Finding the Fourth Proportional to 80.73, 110.81 and 80.73

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Solution

The fourth proportional to 80.73, 110.81 and 80.73 is: 110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.73 : 110.81 = 80.73 : x
  2. Step 2: Convert to fraction form
    80.73/110.81 = 80.73/x
  3. Step 3: Cross multiply
    80.73x = 110.81 × 80.73
  4. Step 4: Simplify right side
    80.73x = 8,945.67
  5. Step 5: Solve for x
    x = 8,945.67/80.73
  6. Step 6: Final answer
    x = 110.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.