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Finding the Fourth Proportional to 138.48, 191.04 and 96.96

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Solution

The fourth proportional to 138.48, 191.04 and 96.96 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.48 : 191.04 = 96.96 : x
  2. Step 2: Convert to fraction form
    138.48/191.04 = 96.96/x
  3. Step 3: Cross multiply
    138.48x = 191.04 × 96.96
  4. Step 4: Simplify right side
    138.48x = 18,523.24
  5. Step 5: Solve for x
    x = 18,523.24/138.48
  6. Step 6: Final answer
    x = 133.76

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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.