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Finding the Fourth Proportional to 138.35, 207.34 and 76.70

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Solution

The fourth proportional to 138.35, 207.34 and 76.70 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.35 : 207.34 = 76.70 : x
  2. Step 2: Convert to fraction form
    138.35/207.34 = 76.70/x
  3. Step 3: Cross multiply
    138.35x = 207.34 × 76.70
  4. Step 4: Simplify right side
    138.35x = 15,903.30
  5. Step 5: Solve for x
    x = 15,903.30/138.35
  6. Step 6: Final answer
    x = 114.95

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Why These Related Problems?

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