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Finding the Fourth Proportional to 31.66, 47.48 and 21.49

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Solution

The fourth proportional to 31.66, 47.48 and 21.49 is: 32.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.66 : 47.48 = 21.49 : x
  2. Step 2: Convert to fraction form
    31.66/47.48 = 21.49/x
  3. Step 3: Cross multiply
    31.66x = 47.48 × 21.49
  4. Step 4: Simplify right side
    31.66x = 1,020.35
  5. Step 5: Solve for x
    x = 1,020.35/31.66
  6. Step 6: Final answer
    x = 32.23

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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.