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Finding the Fourth Proportional to 122.92, 184.07 and 82.22

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Solution

The fourth proportional to 122.92, 184.07 and 82.22 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 184.07 = 82.22 : x
  2. Step 2: Convert to fraction form
    122.92/184.07 = 82.22/x
  3. Step 3: Cross multiply
    122.92x = 184.07 × 82.22
  4. Step 4: Simplify right side
    122.92x = 15,133.52
  5. Step 5: Solve for x
    x = 15,133.52/122.92
  6. Step 6: Final answer
    x = 123.12

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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.