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Finding the Fourth Proportional to 122.62, 169.12 and 83.26

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Solution

The fourth proportional to 122.62, 169.12 and 83.26 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.62 : 169.12 = 83.26 : x
  2. Step 2: Convert to fraction form
    122.62/169.12 = 83.26/x
  3. Step 3: Cross multiply
    122.62x = 169.12 × 83.26
  4. Step 4: Simplify right side
    122.62x = 14,080.93
  5. Step 5: Solve for x
    x = 14,080.93/122.62
  6. Step 6: Final answer
    x = 114.83

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