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Finding the Fourth Proportional to 21.25, 31.89 and 16.75

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Solution

The fourth proportional to 21.25, 31.89 and 16.75 is: 25.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.25 : 31.89 = 16.75 : x
  2. Step 2: Convert to fraction form
    21.25/31.89 = 16.75/x
  3. Step 3: Cross multiply
    21.25x = 31.89 × 16.75
  4. Step 4: Simplify right side
    21.25x = 534.16
  5. Step 5: Solve for x
    x = 534.16/21.25
  6. Step 6: Final answer
    x = 25.14

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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.