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Finding the Fourth Proportional to 81.20, 121.49 and 54.02

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Solution

The fourth proportional to 81.20, 121.49 and 54.02 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.20 : 121.49 = 54.02 : x
  2. Step 2: Convert to fraction form
    81.20/121.49 = 54.02/x
  3. Step 3: Cross multiply
    81.20x = 121.49 × 54.02
  4. Step 4: Simplify right side
    81.20x = 6,562.89
  5. Step 5: Solve for x
    x = 6,562.89/81.20
  6. Step 6: Final answer
    x = 80.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.