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Finding the Fourth Proportional to 84.82, 127.12 and 44.27

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Solution

The fourth proportional to 84.82, 127.12 and 44.27 is: 66.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 127.12 = 44.27 : x
  2. Step 2: Convert to fraction form
    84.82/127.12 = 44.27/x
  3. Step 3: Cross multiply
    84.82x = 127.12 × 44.27
  4. Step 4: Simplify right side
    84.82x = 5,627.60
  5. Step 5: Solve for x
    x = 5,627.60/84.82
  6. Step 6: Final answer
    x = 66.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.