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Finding the Fourth Proportional to 122.89, 168.83 and 109.95

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Solution

The fourth proportional to 122.89, 168.83 and 109.95 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.89 : 168.83 = 109.95 : x
  2. Step 2: Convert to fraction form
    122.89/168.83 = 109.95/x
  3. Step 3: Cross multiply
    122.89x = 168.83 × 109.95
  4. Step 4: Simplify right side
    122.89x = 18,562.57
  5. Step 5: Solve for x
    x = 18,562.57/122.89
  6. Step 6: Final answer
    x = 151.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.