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Finding the Fourth Proportional to 138.29, 190.82 and 83.03

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Solution

The fourth proportional to 138.29, 190.82 and 83.03 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 190.82 = 83.03 : x
  2. Step 2: Convert to fraction form
    138.29/190.82 = 83.03/x
  3. Step 3: Cross multiply
    138.29x = 190.82 × 83.03
  4. Step 4: Simplify right side
    138.29x = 15,843.04
  5. Step 5: Solve for x
    x = 15,843.04/138.29
  6. Step 6: Final answer
    x = 114.56

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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.