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Finding the Fourth Proportional to 137.57, 205.25 and 124.61

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Solution

The fourth proportional to 137.57, 205.25 and 124.61 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 205.25 = 124.61 : x
  2. Step 2: Convert to fraction form
    137.57/205.25 = 124.61/x
  3. Step 3: Cross multiply
    137.57x = 205.25 × 124.61
  4. Step 4: Simplify right side
    137.57x = 25,574.55
  5. Step 5: Solve for x
    x = 25,574.55/137.57
  6. Step 6: Final answer
    x = 185.91

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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.