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Finding the Fourth Proportional to 21.43, 31.97 and 21.07

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Solution

The fourth proportional to 21.43, 31.97 and 21.07 is: 31.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.43 : 31.97 = 21.07 : x
  2. Step 2: Convert to fraction form
    21.43/31.97 = 21.07/x
  3. Step 3: Cross multiply
    21.43x = 31.97 × 21.07
  4. Step 4: Simplify right side
    21.43x = 673.61
  5. Step 5: Solve for x
    x = 673.61/21.43
  6. Step 6: Final answer
    x = 31.43

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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.