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Finding the Fourth Proportional to 139.34, 191.97 and 97.82

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Solution

The fourth proportional to 139.34, 191.97 and 97.82 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.34 : 191.97 = 97.82 : x
  2. Step 2: Convert to fraction form
    139.34/191.97 = 97.82/x
  3. Step 3: Cross multiply
    139.34x = 191.97 × 97.82
  4. Step 4: Simplify right side
    139.34x = 18,779.35
  5. Step 5: Solve for x
    x = 18,779.35/139.34
  6. Step 6: Final answer
    x = 134.78

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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.