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Finding the Fourth Proportional to 96.40, 132.92 and 80.88

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Solution

The fourth proportional to 96.40, 132.92 and 80.88 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 132.92 = 80.88 : x
  2. Step 2: Convert to fraction form
    96.40/132.92 = 80.88/x
  3. Step 3: Cross multiply
    96.40x = 132.92 × 80.88
  4. Step 4: Simplify right side
    96.40x = 10,750.57
  5. Step 5: Solve for x
    x = 10,750.57/96.40
  6. Step 6: Final answer
    x = 111.52

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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.