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Finding the Fourth Proportional to 34.80, 51.83 and 33.54

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Solution

The fourth proportional to 34.80, 51.83 and 33.54 is: 49.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.80 : 51.83 = 33.54 : x
  2. Step 2: Convert to fraction form
    34.80/51.83 = 33.54/x
  3. Step 3: Cross multiply
    34.80x = 51.83 × 33.54
  4. Step 4: Simplify right side
    34.80x = 1,738.38
  5. Step 5: Solve for x
    x = 1,738.38/34.80
  6. Step 6: Final answer
    x = 49.95

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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.