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Finding the Fourth Proportional to 33.20, 49.49 and 31.76

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Solution

The fourth proportional to 33.20, 49.49 and 31.76 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.20 : 49.49 = 31.76 : x
  2. Step 2: Convert to fraction form
    33.20/49.49 = 31.76/x
  3. Step 3: Cross multiply
    33.20x = 49.49 × 31.76
  4. Step 4: Simplify right side
    33.20x = 1,571.80
  5. Step 5: Solve for x
    x = 1,571.80/33.20
  6. Step 6: Final answer
    x = 47.34

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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.