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Finding the Fourth Proportional to 137.97, 206.85 and 122.78

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Solution

The fourth proportional to 137.97, 206.85 and 122.78 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 206.85 = 122.78 : x
  2. Step 2: Convert to fraction form
    137.97/206.85 = 122.78/x
  3. Step 3: Cross multiply
    137.97x = 206.85 × 122.78
  4. Step 4: Simplify right side
    137.97x = 25,398.02
  5. Step 5: Solve for x
    x = 25,398.02/137.97
  6. Step 6: Final answer
    x = 184.08

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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.