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Finding the Fourth Proportional to 81.32, 111.78 and 66.74

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Solution

The fourth proportional to 81.32, 111.78 and 66.74 is: 91.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.32 : 111.78 = 66.74 : x
  2. Step 2: Convert to fraction form
    81.32/111.78 = 66.74/x
  3. Step 3: Cross multiply
    81.32x = 111.78 × 66.74
  4. Step 4: Simplify right side
    81.32x = 7,459.64
  5. Step 5: Solve for x
    x = 7,459.64/81.32
  6. Step 6: Final answer
    x = 91.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.