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Finding the Fourth Proportional to 122.96, 184.13 and 77.17

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Solution

The fourth proportional to 122.96, 184.13 and 77.17 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 184.13 = 77.17 : x
  2. Step 2: Convert to fraction form
    122.96/184.13 = 77.17/x
  3. Step 3: Cross multiply
    122.96x = 184.13 × 77.17
  4. Step 4: Simplify right side
    122.96x = 14,209.31
  5. Step 5: Solve for x
    x = 14,209.31/122.96
  6. Step 6: Final answer
    x = 115.56

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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.