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Finding the Fourth Proportional to 104.22, 143.46 and 84.78

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Solution

The fourth proportional to 104.22, 143.46 and 84.78 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 143.46 = 84.78 : x
  2. Step 2: Convert to fraction form
    104.22/143.46 = 84.78/x
  3. Step 3: Cross multiply
    104.22x = 143.46 × 84.78
  4. Step 4: Simplify right side
    104.22x = 12,162.54
  5. Step 5: Solve for x
    x = 12,162.54/104.22
  6. Step 6: Final answer
    x = 116.70

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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.