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Finding the Fourth Proportional to 31.54, 47.24 and 21.78

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Solution

The fourth proportional to 31.54, 47.24 and 21.78 is: 32.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.54 : 47.24 = 21.78 : x
  2. Step 2: Convert to fraction form
    31.54/47.24 = 21.78/x
  3. Step 3: Cross multiply
    31.54x = 47.24 × 21.78
  4. Step 4: Simplify right side
    31.54x = 1,028.89
  5. Step 5: Solve for x
    x = 1,028.89/31.54
  6. Step 6: Final answer
    x = 32.62

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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.