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Finding the Fourth Proportional to 137, 205.68 and 98.73

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Solution

The fourth proportional to 137, 205.68 and 98.73 is: 148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 205.68 = 98.73 : x
  2. Step 2: Convert to fraction form
    137/205.68 = 98.73/x
  3. Step 3: Cross multiply
    137x = 205.68 × 98.73
  4. Step 4: Simplify right side
    137x = 20,306.79
  5. Step 5: Solve for x
    x = 20,306.79/137
  6. Step 6: Final answer
    x = 148.22

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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.