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Finding the Fourth Proportional to 122.30, 168.86 and 80.85

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Solution

The fourth proportional to 122.30, 168.86 and 80.85 is: 111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.30 : 168.86 = 80.85 : x
  2. Step 2: Convert to fraction form
    122.30/168.86 = 80.85/x
  3. Step 3: Cross multiply
    122.30x = 168.86 × 80.85
  4. Step 4: Simplify right side
    122.30x = 13,651.93
  5. Step 5: Solve for x
    x = 13,651.93/122.30
  6. Step 6: Final answer
    x = 111.63

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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.