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Finding the Fourth Proportional to 81.54, 121.73 and 80.85

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Solution

The fourth proportional to 81.54, 121.73 and 80.85 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.54 : 121.73 = 80.85 : x
  2. Step 2: Convert to fraction form
    81.54/121.73 = 80.85/x
  3. Step 3: Cross multiply
    81.54x = 121.73 × 80.85
  4. Step 4: Simplify right side
    81.54x = 9,841.47
  5. Step 5: Solve for x
    x = 9,841.47/81.54
  6. Step 6: Final answer
    x = 120.69

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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.