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Finding the Fourth Proportional to 138.96, 207.18 and 126.68

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Solution

The fourth proportional to 138.96, 207.18 and 126.68 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 207.18 = 126.68 : x
  2. Step 2: Convert to fraction form
    138.96/207.18 = 126.68/x
  3. Step 3: Cross multiply
    138.96x = 207.18 × 126.68
  4. Step 4: Simplify right side
    138.96x = 26,244.53
  5. Step 5: Solve for x
    x = 26,244.53/138.96
  6. Step 6: Final answer
    x = 188.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.