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Finding the Fourth Proportional to 122.55, 168.22 and 112.17

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Solution

The fourth proportional to 122.55, 168.22 and 112.17 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.55 : 168.22 = 112.17 : x
  2. Step 2: Convert to fraction form
    122.55/168.22 = 112.17/x
  3. Step 3: Cross multiply
    122.55x = 168.22 × 112.17
  4. Step 4: Simplify right side
    122.55x = 18,869.24
  5. Step 5: Solve for x
    x = 18,869.24/122.55
  6. Step 6: Final answer
    x = 153.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.