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Finding the Fourth Proportional to 137.75, 190.08 and 82.49

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Solution

The fourth proportional to 137.75, 190.08 and 82.49 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 190.08 = 82.49 : x
  2. Step 2: Convert to fraction form
    137.75/190.08 = 82.49/x
  3. Step 3: Cross multiply
    137.75x = 190.08 × 82.49
  4. Step 4: Simplify right side
    137.75x = 15,679.77
  5. Step 5: Solve for x
    x = 15,679.77/137.75
  6. Step 6: Final answer
    x = 113.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.