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Finding the Fourth Proportional to 138.26, 207.34 and 84.10

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Solution

The fourth proportional to 138.26, 207.34 and 84.10 is: 126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 207.34 = 84.10 : x
  2. Step 2: Convert to fraction form
    138.26/207.34 = 84.10/x
  3. Step 3: Cross multiply
    138.26x = 207.34 × 84.10
  4. Step 4: Simplify right side
    138.26x = 17,437.29
  5. Step 5: Solve for x
    x = 17,437.29/138.26
  6. Step 6: Final answer
    x = 126.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.