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Finding the Fourth Proportional to 51.38, 76.95 and 33.09

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Solution

The fourth proportional to 51.38, 76.95 and 33.09 is: 49.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 76.95 = 33.09 : x
  2. Step 2: Convert to fraction form
    51.38/76.95 = 33.09/x
  3. Step 3: Cross multiply
    51.38x = 76.95 × 33.09
  4. Step 4: Simplify right side
    51.38x = 2,546.28
  5. Step 5: Solve for x
    x = 2,546.28/51.38
  6. Step 6: Final answer
    x = 49.56

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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.