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Finding the Fourth Proportional to 101.26, 139.86 and 82.12

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Solution

The fourth proportional to 101.26, 139.86 and 82.12 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.26 : 139.86 = 82.12 : x
  2. Step 2: Convert to fraction form
    101.26/139.86 = 82.12/x
  3. Step 3: Cross multiply
    101.26x = 139.86 × 82.12
  4. Step 4: Simplify right side
    101.26x = 11,485.30
  5. Step 5: Solve for x
    x = 11,485.30/101.26
  6. Step 6: Final answer
    x = 113.42

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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.