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Finding the Fourth Proportional to 24.50, 33.82 and 16.72

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Solution

The fourth proportional to 24.50, 33.82 and 16.72 is: 23.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.82 = 16.72 : x
  2. Step 2: Convert to fraction form
    24.50/33.82 = 16.72/x
  3. Step 3: Cross multiply
    24.50x = 33.82 × 16.72
  4. Step 4: Simplify right side
    24.50x = 565.47
  5. Step 5: Solve for x
    x = 565.47/24.50
  6. Step 6: Final answer
    x = 23.08

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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.