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Finding the Fourth Proportional to 21.50, 31.97 and 20.78

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Solution

The fourth proportional to 21.50, 31.97 and 20.78 is: 30.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 31.97 = 20.78 : x
  2. Step 2: Convert to fraction form
    21.50/31.97 = 20.78/x
  3. Step 3: Cross multiply
    21.50x = 31.97 × 20.78
  4. Step 4: Simplify right side
    21.50x = 664.34
  5. Step 5: Solve for x
    x = 664.34/21.50
  6. Step 6: Final answer
    x = 30.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.