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Finding the Fourth Proportional to 213.96, 321 and 69.68

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Solution

The fourth proportional to 213.96, 321 and 69.68 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 321 = 69.68 : x
  2. Step 2: Convert to fraction form
    213.96/321 = 69.68/x
  3. Step 3: Cross multiply
    213.96x = 321 × 69.68
  4. Step 4: Simplify right side
    213.96x = 22,367.28
  5. Step 5: Solve for x
    x = 22,367.28/213.96
  6. Step 6: Final answer
    x = 104.54

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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.