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Finding the Fourth Proportional to 99.20, 136.83 and 80.75

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Solution

The fourth proportional to 99.20, 136.83 and 80.75 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 136.83 = 80.75 : x
  2. Step 2: Convert to fraction form
    99.20/136.83 = 80.75/x
  3. Step 3: Cross multiply
    99.20x = 136.83 × 80.75
  4. Step 4: Simplify right side
    99.20x = 11,049.02
  5. Step 5: Solve for x
    x = 11,049.02/99.20
  6. Step 6: Final answer
    x = 111.38

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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.