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Finding the Fourth Proportional to 122.26, 168.46 and 83.38

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Solution

The fourth proportional to 122.26, 168.46 and 83.38 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.26 : 168.46 = 83.38 : x
  2. Step 2: Convert to fraction form
    122.26/168.46 = 83.38/x
  3. Step 3: Cross multiply
    122.26x = 168.46 × 83.38
  4. Step 4: Simplify right side
    122.26x = 14,046.19
  5. Step 5: Solve for x
    x = 14,046.19/122.26
  6. Step 6: Final answer
    x = 114.89

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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.