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Finding the Fourth Proportional to 21.31, 31.97 and 14.09

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Solution

The fourth proportional to 21.31, 31.97 and 14.09 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.31 : 31.97 = 14.09 : x
  2. Step 2: Convert to fraction form
    21.31/31.97 = 14.09/x
  3. Step 3: Cross multiply
    21.31x = 31.97 × 14.09
  4. Step 4: Simplify right side
    21.31x = 450.33
  5. Step 5: Solve for x
    x = 450.33/21.31
  6. Step 6: Final answer
    x = 21.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.