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Finding the Fourth Proportional to 138.34, 207.44 and 51.65

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Solution

The fourth proportional to 138.34, 207.44 and 51.65 is: 77.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 207.44 = 51.65 : x
  2. Step 2: Convert to fraction form
    138.34/207.44 = 51.65/x
  3. Step 3: Cross multiply
    138.34x = 207.44 × 51.65
  4. Step 4: Simplify right side
    138.34x = 10,713.95
  5. Step 5: Solve for x
    x = 10,713.95/138.34
  6. Step 6: Final answer
    x = 77.45

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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.