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Finding the Fourth Proportional to 137.67, 206.19 and 83.45

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Solution

The fourth proportional to 137.67, 206.19 and 83.45 is: 124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 206.19 = 83.45 : x
  2. Step 2: Convert to fraction form
    137.67/206.19 = 83.45/x
  3. Step 3: Cross multiply
    137.67x = 206.19 × 83.45
  4. Step 4: Simplify right side
    137.67x = 17,205.52
  5. Step 5: Solve for x
    x = 17,205.52/137.67
  6. Step 6: Final answer
    x = 124.98

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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.