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Finding the Fourth Proportional to 122.44, 183.39 and 83.74

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Solution

The fourth proportional to 122.44, 183.39 and 83.74 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 183.39 = 83.74 : x
  2. Step 2: Convert to fraction form
    122.44/183.39 = 83.74/x
  3. Step 3: Cross multiply
    122.44x = 183.39 × 83.74
  4. Step 4: Simplify right side
    122.44x = 15,357.08
  5. Step 5: Solve for x
    x = 15,357.08/122.44
  6. Step 6: Final answer
    x = 125.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.