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Finding the Fourth Proportional to 24.57, 36.84 and 8.54

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Solution

The fourth proportional to 24.57, 36.84 and 8.54 is: 12.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.57 : 36.84 = 8.54 : x
  2. Step 2: Convert to fraction form
    24.57/36.84 = 8.54/x
  3. Step 3: Cross multiply
    24.57x = 36.84 × 8.54
  4. Step 4: Simplify right side
    24.57x = 314.43
  5. Step 5: Solve for x
    x = 314.43/24.57
  6. Step 6: Final answer
    x = 12.80

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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.