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Finding the Fourth Proportional to 24.78, 37.23 and 16.25

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Solution

The fourth proportional to 24.78, 37.23 and 16.25 is: 24.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 37.23 = 16.25 : x
  2. Step 2: Convert to fraction form
    24.78/37.23 = 16.25/x
  3. Step 3: Cross multiply
    24.78x = 37.23 × 16.25
  4. Step 4: Simplify right side
    24.78x = 604.80
  5. Step 5: Solve for x
    x = 604.80/24.78
  6. Step 6: Final answer
    x = 24.41

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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.