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Finding the Fourth Proportional to 104.22, 143.70 and 84.57

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Solution

The fourth proportional to 104.22, 143.70 and 84.57 is: 116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.22 : 143.70 = 84.57 : x
  2. Step 2: Convert to fraction form
    104.22/143.70 = 84.57/x
  3. Step 3: Cross multiply
    104.22x = 143.70 × 84.57
  4. Step 4: Simplify right side
    104.22x = 12,152.71
  5. Step 5: Solve for x
    x = 12,152.71/104.22
  6. Step 6: Final answer
    x = 116.61

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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.