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Finding the Fourth Proportional to 123.46, 168.01 and 122.85

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Solution

The fourth proportional to 123.46, 168.01 and 122.85 is: 167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.46 : 168.01 = 122.85 : x
  2. Step 2: Convert to fraction form
    123.46/168.01 = 122.85/x
  3. Step 3: Cross multiply
    123.46x = 168.01 × 122.85
  4. Step 4: Simplify right side
    123.46x = 20,639.72
  5. Step 5: Solve for x
    x = 20,639.72/123.46
  6. Step 6: Final answer
    x = 167.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.