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Finding the Fourth Proportional to 137.24, 206.10 and 116.78

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Solution

The fourth proportional to 137.24, 206.10 and 116.78 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 206.10 = 116.78 : x
  2. Step 2: Convert to fraction form
    137.24/206.10 = 116.78/x
  3. Step 3: Cross multiply
    137.24x = 206.10 × 116.78
  4. Step 4: Simplify right side
    137.24x = 24,067.33
  5. Step 5: Solve for x
    x = 24,067.33/137.24
  6. Step 6: Final answer
    x = 175.37

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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.