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Finding the Fourth Proportional to 137.24, 189.25 and 97.82

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Solution

The fourth proportional to 137.24, 189.25 and 97.82 is: 134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 189.25 = 97.82 : x
  2. Step 2: Convert to fraction form
    137.24/189.25 = 97.82/x
  3. Step 3: Cross multiply
    137.24x = 189.25 × 97.82
  4. Step 4: Simplify right side
    137.24x = 18,513.57
  5. Step 5: Solve for x
    x = 18,513.57/137.24
  6. Step 6: Final answer
    x = 134.89

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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.