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Finding the Fourth Proportional to 33.54, 49.98 and 32.04

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Solution

The fourth proportional to 33.54, 49.98 and 32.04 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.54 : 49.98 = 32.04 : x
  2. Step 2: Convert to fraction form
    33.54/49.98 = 32.04/x
  3. Step 3: Cross multiply
    33.54x = 49.98 × 32.04
  4. Step 4: Simplify right side
    33.54x = 1,601.36
  5. Step 5: Solve for x
    x = 1,601.36/33.54
  6. Step 6: Final answer
    x = 47.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.