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Finding the Fourth Proportional to 138.26, 190.74 and 82.97

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Solution

The fourth proportional to 138.26, 190.74 and 82.97 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 190.74 = 82.97 : x
  2. Step 2: Convert to fraction form
    138.26/190.74 = 82.97/x
  3. Step 3: Cross multiply
    138.26x = 190.74 × 82.97
  4. Step 4: Simplify right side
    138.26x = 15,825.28
  5. Step 5: Solve for x
    x = 15,825.28/138.26
  6. Step 6: Final answer
    x = 114.46

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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.