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Finding the Fourth Proportional to 137.67, 206.42 and 79.82

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Solution

The fourth proportional to 137.67, 206.42 and 79.82 is: 119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 206.42 = 79.82 : x
  2. Step 2: Convert to fraction form
    137.67/206.42 = 79.82/x
  3. Step 3: Cross multiply
    137.67x = 206.42 × 79.82
  4. Step 4: Simplify right side
    137.67x = 16,475.79
  5. Step 5: Solve for x
    x = 16,475.79/137.67
  6. Step 6: Final answer
    x = 119.68

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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.