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Finding the Fourth Proportional to 81.11, 120.81 and 80.75

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Solution

The fourth proportional to 81.11, 120.81 and 80.75 is: 120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.11 : 120.81 = 80.75 : x
  2. Step 2: Convert to fraction form
    81.11/120.81 = 80.75/x
  3. Step 3: Cross multiply
    81.11x = 120.81 × 80.75
  4. Step 4: Simplify right side
    81.11x = 9,755.11
  5. Step 5: Solve for x
    x = 9,755.11/81.11
  6. Step 6: Final answer
    x = 120.27

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