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Finding the Fourth Proportional to 122.87, 169.56 and 66.86

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Solution

The fourth proportional to 122.87, 169.56 and 66.86 is: 92.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.87 : 169.56 = 66.86 : x
  2. Step 2: Convert to fraction form
    122.87/169.56 = 66.86/x
  3. Step 3: Cross multiply
    122.87x = 169.56 × 66.86
  4. Step 4: Simplify right side
    122.87x = 11,336.23
  5. Step 5: Solve for x
    x = 11,336.23/122.87
  6. Step 6: Final answer
    x = 92.26

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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.