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Finding the Fourth Proportional to 21.29, 31.71 and 20.00

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Solution

The fourth proportional to 21.29, 31.71 and 20.00 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.29 : 31.71 = 20.00 : x
  2. Step 2: Convert to fraction form
    21.29/31.71 = 20.00/x
  3. Step 3: Cross multiply
    21.29x = 31.71 × 20.00
  4. Step 4: Simplify right side
    21.29x = 633.94
  5. Step 5: Solve for x
    x = 633.94/21.29
  6. Step 6: Final answer
    x = 29.78

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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.