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Finding the Fourth Proportional to 43.67, 65.41 and 30.85

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Solution

The fourth proportional to 43.67, 65.41 and 30.85 is: 46.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.67 : 65.41 = 30.85 : x
  2. Step 2: Convert to fraction form
    43.67/65.41 = 30.85/x
  3. Step 3: Cross multiply
    43.67x = 65.41 × 30.85
  4. Step 4: Simplify right side
    43.67x = 2,017.66
  5. Step 5: Solve for x
    x = 2,017.66/43.67
  6. Step 6: Final answer
    x = 46.20

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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.