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Finding the Fourth Proportional to 31.68, 43.71 and 21.34

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Solution

The fourth proportional to 31.68, 43.71 and 21.34 is: 29.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 43.71 = 21.34 : x
  2. Step 2: Convert to fraction form
    31.68/43.71 = 21.34/x
  3. Step 3: Cross multiply
    31.68x = 43.71 × 21.34
  4. Step 4: Simplify right side
    31.68x = 932.77
  5. Step 5: Solve for x
    x = 932.77/31.68
  6. Step 6: Final answer
    x = 29.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.