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Finding the Fourth Proportional to 37.78, 56.73 and 33.73

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Solution

The fourth proportional to 37.78, 56.73 and 33.73 is: 50.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 56.73 = 33.73 : x
  2. Step 2: Convert to fraction form
    37.78/56.73 = 33.73/x
  3. Step 3: Cross multiply
    37.78x = 56.73 × 33.73
  4. Step 4: Simplify right side
    37.78x = 1,913.50
  5. Step 5: Solve for x
    x = 1,913.50/37.78
  6. Step 6: Final answer
    x = 50.65

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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.