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Finding the Fourth Proportional to 230.05, 345.09 and 75.97

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Solution

The fourth proportional to 230.05, 345.09 and 75.97 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.05 : 345.09 = 75.97 : x
  2. Step 2: Convert to fraction form
    230.05/345.09 = 75.97/x
  3. Step 3: Cross multiply
    230.05x = 345.09 × 75.97
  4. Step 4: Simplify right side
    230.05x = 26,217.20
  5. Step 5: Solve for x
    x = 26,217.20/230.05
  6. Step 6: Final answer
    x = 113.96

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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.