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Finding the Fourth Proportional to 81.17, 120.77 and 80.90

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Solution

The fourth proportional to 81.17, 120.77 and 80.90 is: 120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.17 : 120.77 = 80.90 : x
  2. Step 2: Convert to fraction form
    81.17/120.77 = 80.90/x
  3. Step 3: Cross multiply
    81.17x = 120.77 × 80.90
  4. Step 4: Simplify right side
    81.17x = 9,769.28
  5. Step 5: Solve for x
    x = 9,769.28/81.17
  6. Step 6: Final answer
    x = 120.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.