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Finding the Fourth Proportional to 31.82, 47.74 and 24.20

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Solution

The fourth proportional to 31.82, 47.74 and 24.20 is: 36.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.82 : 47.74 = 24.20 : x
  2. Step 2: Convert to fraction form
    31.82/47.74 = 24.20/x
  3. Step 3: Cross multiply
    31.82x = 47.74 × 24.20
  4. Step 4: Simplify right side
    31.82x = 1,155.31
  5. Step 5: Solve for x
    x = 1,155.31/31.82
  6. Step 6: Final answer
    x = 36.31

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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.