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Finding the Fourth Proportional to 122.36, 182.51 and 113.86

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Solution

The fourth proportional to 122.36, 182.51 and 113.86 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 182.51 = 113.86 : x
  2. Step 2: Convert to fraction form
    122.36/182.51 = 113.86/x
  3. Step 3: Cross multiply
    122.36x = 182.51 × 113.86
  4. Step 4: Simplify right side
    122.36x = 20,780.42
  5. Step 5: Solve for x
    x = 20,780.42/122.36
  6. Step 6: Final answer
    x = 169.83

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