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Finding the Fourth Proportional to 213.05, 319.55 and 68.73

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Solution

The fourth proportional to 213.05, 319.55 and 68.73 is: 103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.55 = 68.73 : x
  2. Step 2: Convert to fraction form
    213.05/319.55 = 68.73/x
  3. Step 3: Cross multiply
    213.05x = 319.55 × 68.73
  4. Step 4: Simplify right side
    213.05x = 21,962.33
  5. Step 5: Solve for x
    x = 21,962.33/213.05
  6. Step 6: Final answer
    x = 103.09

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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.