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Finding the Fourth Proportional to 77.92, 116.84 and 55.12

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Solution

The fourth proportional to 77.92, 116.84 and 55.12 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 116.84 = 55.12 : x
  2. Step 2: Convert to fraction form
    77.92/116.84 = 55.12/x
  3. Step 3: Cross multiply
    77.92x = 116.84 × 55.12
  4. Step 4: Simplify right side
    77.92x = 6,440.22
  5. Step 5: Solve for x
    x = 6,440.22/77.92
  6. Step 6: Final answer
    x = 82.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.