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Finding the Fourth Proportional to 84.45, 126.82 and 81.18

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Solution

The fourth proportional to 84.45, 126.82 and 81.18 is: 121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.45 : 126.82 = 81.18 : x
  2. Step 2: Convert to fraction form
    84.45/126.82 = 81.18/x
  3. Step 3: Cross multiply
    84.45x = 126.82 × 81.18
  4. Step 4: Simplify right side
    84.45x = 10,295.25
  5. Step 5: Solve for x
    x = 10,295.25/84.45
  6. Step 6: Final answer
    x = 121.91

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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.