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Finding the Fourth Proportional to 138.29, 207.41 and 51.62

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Solution

The fourth proportional to 138.29, 207.41 and 51.62 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 207.41 = 51.62 : x
  2. Step 2: Convert to fraction form
    138.29/207.41 = 51.62/x
  3. Step 3: Cross multiply
    138.29x = 207.41 × 51.62
  4. Step 4: Simplify right side
    138.29x = 10,705.21
  5. Step 5: Solve for x
    x = 10,705.21/138.29
  6. Step 6: Final answer
    x = 77.41

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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.