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Finding the Fourth Proportional to 89.92, 123.84 and 81.76

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Solution

The fourth proportional to 89.92, 123.84 and 81.76 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 123.84 = 81.76 : x
  2. Step 2: Convert to fraction form
    89.92/123.84 = 81.76/x
  3. Step 3: Cross multiply
    89.92x = 123.84 × 81.76
  4. Step 4: Simplify right side
    89.92x = 10,125.16
  5. Step 5: Solve for x
    x = 10,125.16/89.92
  6. Step 6: Final answer
    x = 112.60

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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.