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Finding the Fourth Proportional to 21.25, 31.82 and 16.16

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Solution

The fourth proportional to 21.25, 31.82 and 16.16 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.25 : 31.82 = 16.16 : x
  2. Step 2: Convert to fraction form
    21.25/31.82 = 16.16/x
  3. Step 3: Cross multiply
    21.25x = 31.82 × 16.16
  4. Step 4: Simplify right side
    21.25x = 514.25
  5. Step 5: Solve for x
    x = 514.25/21.25
  6. Step 6: Final answer
    x = 24.21

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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.