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Finding the Fourth Proportional to 137.74, 206.68 and 82.91

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Solution

The fourth proportional to 137.74, 206.68 and 82.91 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 206.68 = 82.91 : x
  2. Step 2: Convert to fraction form
    137.74/206.68 = 82.91/x
  3. Step 3: Cross multiply
    137.74x = 206.68 × 82.91
  4. Step 4: Simplify right side
    137.74x = 17,135.84
  5. Step 5: Solve for x
    x = 17,135.84/137.74
  6. Step 6: Final answer
    x = 124.41

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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.