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Finding the Fourth Proportional to 138.13, 190.67 and 82.90

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Solution

The fourth proportional to 138.13, 190.67 and 82.90 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 190.67 = 82.90 : x
  2. Step 2: Convert to fraction form
    138.13/190.67 = 82.90/x
  3. Step 3: Cross multiply
    138.13x = 190.67 × 82.90
  4. Step 4: Simplify right side
    138.13x = 15,806.54
  5. Step 5: Solve for x
    x = 15,806.54/138.13
  6. Step 6: Final answer
    x = 114.43

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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.