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Finding the Fourth Proportional to 137.72, 206.74 and 122.52

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Solution

The fourth proportional to 137.72, 206.74 and 122.52 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 206.74 = 122.52 : x
  2. Step 2: Convert to fraction form
    137.72/206.74 = 122.52/x
  3. Step 3: Cross multiply
    137.72x = 206.74 × 122.52
  4. Step 4: Simplify right side
    137.72x = 25,329.78
  5. Step 5: Solve for x
    x = 25,329.78/137.72
  6. Step 6: Final answer
    x = 183.92

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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.