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Finding the Fourth Proportional to 33.02, 49.46 and 25.79

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Solution

The fourth proportional to 33.02, 49.46 and 25.79 is: 38.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 49.46 = 25.79 : x
  2. Step 2: Convert to fraction form
    33.02/49.46 = 25.79/x
  3. Step 3: Cross multiply
    33.02x = 49.46 × 25.79
  4. Step 4: Simplify right side
    33.02x = 1,275.57
  5. Step 5: Solve for x
    x = 1,275.57/33.02
  6. Step 6: Final answer
    x = 38.63

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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.