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Finding the Fourth Proportional to 49.43, 74.13 and 16.92

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Solution

The fourth proportional to 49.43, 74.13 and 16.92 is: 25.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.43 : 74.13 = 16.92 : x
  2. Step 2: Convert to fraction form
    49.43/74.13 = 16.92/x
  3. Step 3: Cross multiply
    49.43x = 74.13 × 16.92
  4. Step 4: Simplify right side
    49.43x = 1,254.28
  5. Step 5: Solve for x
    x = 1,254.28/49.43
  6. Step 6: Final answer
    x = 25.38

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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.