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Finding the Fourth Proportional to 32.05, 47.97 and 24.42

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Solution

The fourth proportional to 32.05, 47.97 and 24.42 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.05 : 47.97 = 24.42 : x
  2. Step 2: Convert to fraction form
    32.05/47.97 = 24.42/x
  3. Step 3: Cross multiply
    32.05x = 47.97 × 24.42
  4. Step 4: Simplify right side
    32.05x = 1,171.43
  5. Step 5: Solve for x
    x = 1,171.43/32.05
  6. Step 6: Final answer
    x = 36.55

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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.