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Finding the Fourth Proportional to 24.61, 33.97 and 14.78

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Solution

The fourth proportional to 24.61, 33.97 and 14.78 is: 20.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.61 : 33.97 = 14.78 : x
  2. Step 2: Convert to fraction form
    24.61/33.97 = 14.78/x
  3. Step 3: Cross multiply
    24.61x = 33.97 × 14.78
  4. Step 4: Simplify right side
    24.61x = 502.08
  5. Step 5: Solve for x
    x = 502.08/24.61
  6. Step 6: Final answer
    x = 20.40

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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.