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Finding the Fourth Proportional to 31.48, 47.22 and 16.27

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Solution

The fourth proportional to 31.48, 47.22 and 16.27 is: 24.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 47.22 = 16.27 : x
  2. Step 2: Convert to fraction form
    31.48/47.22 = 16.27/x
  3. Step 3: Cross multiply
    31.48x = 47.22 × 16.27
  4. Step 4: Simplify right side
    31.48x = 768.27
  5. Step 5: Solve for x
    x = 768.27/31.48
  6. Step 6: Final answer
    x = 24.41

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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.