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Finding the Fourth Proportional to 137.18, 189.31 and 81.92

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Solution

The fourth proportional to 137.18, 189.31 and 81.92 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 189.31 = 81.92 : x
  2. Step 2: Convert to fraction form
    137.18/189.31 = 81.92/x
  3. Step 3: Cross multiply
    137.18x = 189.31 × 81.92
  4. Step 4: Simplify right side
    137.18x = 15,508.28
  5. Step 5: Solve for x
    x = 15,508.28/137.18
  6. Step 6: Final answer
    x = 113.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.