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Finding the Fourth Proportional to 138.44, 191.01 and 80.22

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Solution

The fourth proportional to 138.44, 191.01 and 80.22 is: 110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.44 : 191.01 = 80.22 : x
  2. Step 2: Convert to fraction form
    138.44/191.01 = 80.22/x
  3. Step 3: Cross multiply
    138.44x = 191.01 × 80.22
  4. Step 4: Simplify right side
    138.44x = 15,322.82
  5. Step 5: Solve for x
    x = 15,322.82/138.44
  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.