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Finding the Fourth Proportional to 230.05, 345.11 and 85.78

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Solution

The fourth proportional to 230.05, 345.11 and 85.78 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.05 : 345.11 = 85.78 : x
  2. Step 2: Convert to fraction form
    230.05/345.11 = 85.78/x
  3. Step 3: Cross multiply
    230.05x = 345.11 × 85.78
  4. Step 4: Simplify right side
    230.05x = 29,603.54
  5. Step 5: Solve for x
    x = 29,603.54/230.05
  6. Step 6: Final answer
    x = 128.68

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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.