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Finding the Fourth Proportional to 84.22, 126.38 and 68.83

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Solution

The fourth proportional to 84.22, 126.38 and 68.83 is: 103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 126.38 = 68.83 : x
  2. Step 2: Convert to fraction form
    84.22/126.38 = 68.83/x
  3. Step 3: Cross multiply
    84.22x = 126.38 × 68.83
  4. Step 4: Simplify right side
    84.22x = 8,698.74
  5. Step 5: Solve for x
    x = 8,698.74/84.22
  6. Step 6: Final answer
    x = 103.29

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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.