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Finding the Fourth Proportional to 122.09, 182.08 and 113.90

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Solution

The fourth proportional to 122.09, 182.08 and 113.90 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 182.08 = 113.90 : x
  2. Step 2: Convert to fraction form
    122.09/182.08 = 113.90/x
  3. Step 3: Cross multiply
    122.09x = 182.08 × 113.90
  4. Step 4: Simplify right side
    122.09x = 20,737.43
  5. Step 5: Solve for x
    x = 20,737.43/122.09
  6. Step 6: Final answer
    x = 169.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.