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Finding the Fourth Proportional to 80.62, 111.11 and 65.13

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Solution

The fourth proportional to 80.62, 111.11 and 65.13 is: 89.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.62 : 111.11 = 65.13 : x
  2. Step 2: Convert to fraction form
    80.62/111.11 = 65.13/x
  3. Step 3: Cross multiply
    80.62x = 111.11 × 65.13
  4. Step 4: Simplify right side
    80.62x = 7,236.59
  5. Step 5: Solve for x
    x = 7,236.59/80.62
  6. Step 6: Final answer
    x = 89.76

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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.