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Finding the Fourth Proportional to 80.97, 111.42 and 77.37

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Solution

The fourth proportional to 80.97, 111.42 and 77.37 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.97 : 111.42 = 77.37 : x
  2. Step 2: Convert to fraction form
    80.97/111.42 = 77.37/x
  3. Step 3: Cross multiply
    80.97x = 111.42 × 77.37
  4. Step 4: Simplify right side
    80.97x = 8,620.57
  5. Step 5: Solve for x
    x = 8,620.57/80.97
  6. Step 6: Final answer
    x = 106.47

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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.