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Finding the Fourth Proportional to 137.61, 205.91 and 82.80

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Solution

The fourth proportional to 137.61, 205.91 and 82.80 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 205.91 = 82.80 : x
  2. Step 2: Convert to fraction form
    137.61/205.91 = 82.80/x
  3. Step 3: Cross multiply
    137.61x = 205.91 × 82.80
  4. Step 4: Simplify right side
    137.61x = 17,049.86
  5. Step 5: Solve for x
    x = 17,049.86/137.61
  6. Step 6: Final answer
    x = 123.90

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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.