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Finding the Fourth Proportional to 101.26, 139.60 and 81.82

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Solution

The fourth proportional to 101.26, 139.60 and 81.82 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.26 : 139.60 = 81.82 : x
  2. Step 2: Convert to fraction form
    101.26/139.60 = 81.82/x
  3. Step 3: Cross multiply
    101.26x = 139.60 × 81.82
  4. Step 4: Simplify right side
    101.26x = 11,422.07
  5. Step 5: Solve for x
    x = 11,422.07/101.26
  6. Step 6: Final answer
    x = 112.80

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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.