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Finding the Fourth Proportional to 21.31, 31.99 and 16.80

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Solution

The fourth proportional to 21.31, 31.99 and 16.80 is: 25.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.31 : 31.99 = 16.80 : x
  2. Step 2: Convert to fraction form
    21.31/31.99 = 16.80/x
  3. Step 3: Cross multiply
    21.31x = 31.99 × 16.80
  4. Step 4: Simplify right side
    21.31x = 537.35
  5. Step 5: Solve for x
    x = 537.35/21.31
  6. Step 6: Final answer
    x = 25.22

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Why These Related Problems?

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