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Finding the Fourth Proportional to 122.51, 169.22 and 110.86

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Solution

The fourth proportional to 122.51, 169.22 and 110.86 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 169.22 = 110.86 : x
  2. Step 2: Convert to fraction form
    122.51/169.22 = 110.86/x
  3. Step 3: Cross multiply
    122.51x = 169.22 × 110.86
  4. Step 4: Simplify right side
    122.51x = 18,759.73
  5. Step 5: Solve for x
    x = 18,759.73/122.51
  6. Step 6: Final answer
    x = 153.13

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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.