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Finding the Fourth Proportional to 24.41, 33.68 and 14.57

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Solution

The fourth proportional to 24.41, 33.68 and 14.57 is: 20.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.41 : 33.68 = 14.57 : x
  2. Step 2: Convert to fraction form
    24.41/33.68 = 14.57/x
  3. Step 3: Cross multiply
    24.41x = 33.68 × 14.57
  4. Step 4: Simplify right side
    24.41x = 490.64
  5. Step 5: Solve for x
    x = 490.64/24.41
  6. Step 6: Final answer
    x = 20.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.