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Finding the Fourth Proportional to 139.96, 193.20 and 81.76

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Solution

The fourth proportional to 139.96, 193.20 and 81.76 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.96 : 193.20 = 81.76 : x
  2. Step 2: Convert to fraction form
    139.96/193.20 = 81.76/x
  3. Step 3: Cross multiply
    139.96x = 193.20 × 81.76
  4. Step 4: Simplify right side
    139.96x = 15,796.03
  5. Step 5: Solve for x
    x = 15,796.03/139.96
  6. Step 6: Final answer
    x = 112.86

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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.