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Finding the Fourth Proportional to 81.12, 120.86 and 77.04

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Solution

The fourth proportional to 81.12, 120.86 and 77.04 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.12 : 120.86 = 77.04 : x
  2. Step 2: Convert to fraction form
    81.12/120.86 = 77.04/x
  3. Step 3: Cross multiply
    81.12x = 120.86 × 77.04
  4. Step 4: Simplify right side
    81.12x = 9,311.05
  5. Step 5: Solve for x
    x = 9,311.05/81.12
  6. Step 6: Final answer
    x = 114.78

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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.