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Finding the Fourth Proportional to 80.54, 111.16 and 66.71

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Solution

The fourth proportional to 80.54, 111.16 and 66.71 is: 92.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 111.16 = 66.71 : x
  2. Step 2: Convert to fraction form
    80.54/111.16 = 66.71/x
  3. Step 3: Cross multiply
    80.54x = 111.16 × 66.71
  4. Step 4: Simplify right side
    80.54x = 7,414.76
  5. Step 5: Solve for x
    x = 7,414.76/80.54
  6. Step 6: Final answer
    x = 92.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.