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Finding the Fourth Proportional to 138.84, 207.26 and 129.74

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Solution

The fourth proportional to 138.84, 207.26 and 129.74 is: 193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 207.26 = 129.74 : x
  2. Step 2: Convert to fraction form
    138.84/207.26 = 129.74/x
  3. Step 3: Cross multiply
    138.84x = 207.26 × 129.74
  4. Step 4: Simplify right side
    138.84x = 26,889.91
  5. Step 5: Solve for x
    x = 26,889.91/138.84
  6. Step 6: Final answer
    x = 193.68

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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.