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Finding the Fourth Proportional to 137.28, 205.92 and 89.22

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Solution

The fourth proportional to 137.28, 205.92 and 89.22 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 205.92 = 89.22 : x
  2. Step 2: Convert to fraction form
    137.28/205.92 = 89.22/x
  3. Step 3: Cross multiply
    137.28x = 205.92 × 89.22
  4. Step 4: Simplify right side
    137.28x = 18,372.18
  5. Step 5: Solve for x
    x = 18,372.18/137.28
  6. Step 6: Final answer
    x = 133.83

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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.