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Finding the Fourth Proportional to 213.14, 319.48 and 91.22

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Solution

The fourth proportional to 213.14, 319.48 and 91.22 is: 136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.48 = 91.22 : x
  2. Step 2: Convert to fraction form
    213.14/319.48 = 91.22/x
  3. Step 3: Cross multiply
    213.14x = 319.48 × 91.22
  4. Step 4: Simplify right side
    213.14x = 29,142.97
  5. Step 5: Solve for x
    x = 29,142.97/213.14
  6. Step 6: Final answer
    x = 136.73

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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.