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Finding the Fourth Proportional to 138.42, 191.03 and 80.21

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Solution

The fourth proportional to 138.42, 191.03 and 80.21 is: 110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 191.03 = 80.21 : x
  2. Step 2: Convert to fraction form
    138.42/191.03 = 80.21/x
  3. Step 3: Cross multiply
    138.42x = 191.03 × 80.21
  4. Step 4: Simplify right side
    138.42x = 15,321.16
  5. Step 5: Solve for x
    x = 15,321.16/138.42
  6. Step 6: Final answer
    x = 110.69

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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.