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Finding the Fourth Proportional to 122.27, 168.87 and 106.10

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Solution

The fourth proportional to 122.27, 168.87 and 106.10 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.27 : 168.87 = 106.10 : x
  2. Step 2: Convert to fraction form
    122.27/168.87 = 106.10/x
  3. Step 3: Cross multiply
    122.27x = 168.87 × 106.10
  4. Step 4: Simplify right side
    122.27x = 17,916.26
  5. Step 5: Solve for x
    x = 17,916.26/122.27
  6. Step 6: Final answer
    x = 146.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.