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Finding the Fourth Proportional to 137.85, 206.82 and 83.07

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Solution

The fourth proportional to 137.85, 206.82 and 83.07 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 206.82 = 83.07 : x
  2. Step 2: Convert to fraction form
    137.85/206.82 = 83.07/x
  3. Step 3: Cross multiply
    137.85x = 206.82 × 83.07
  4. Step 4: Simplify right side
    137.85x = 17,180.54
  5. Step 5: Solve for x
    x = 17,180.54/137.85
  6. Step 6: Final answer
    x = 124.63

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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.