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Finding the Fourth Proportional to 138.70, 207.10 and 129.34

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Solution

The fourth proportional to 138.70, 207.10 and 129.34 is: 193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.70 : 207.10 = 129.34 : x
  2. Step 2: Convert to fraction form
    138.70/207.10 = 129.34/x
  3. Step 3: Cross multiply
    138.70x = 207.10 × 129.34
  4. Step 4: Simplify right side
    138.70x = 26,786.31
  5. Step 5: Solve for x
    x = 26,786.31/138.70
  6. Step 6: Final answer
    x = 193.12

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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.