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Finding the Fourth Proportional to 138.24, 207.30 and 51.54

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Solution

The fourth proportional to 138.24, 207.30 and 51.54 is: 77.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 207.30 = 51.54 : x
  2. Step 2: Convert to fraction form
    138.24/207.30 = 51.54/x
  3. Step 3: Cross multiply
    138.24x = 207.30 × 51.54
  4. Step 4: Simplify right side
    138.24x = 10,684.24
  5. Step 5: Solve for x
    x = 10,684.24/138.24
  6. Step 6: Final answer
    x = 77.29

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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.