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Finding the Fourth Proportional to 84.44, 115.60 and 82.28

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Solution

The fourth proportional to 84.44, 115.60 and 82.28 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 115.60 = 82.28 : x
  2. Step 2: Convert to fraction form
    84.44/115.60 = 82.28/x
  3. Step 3: Cross multiply
    84.44x = 115.60 × 82.28
  4. Step 4: Simplify right side
    84.44x = 9,511.57
  5. Step 5: Solve for x
    x = 9,511.57/84.44
  6. Step 6: Final answer
    x = 112.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.