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Finding the Fourth Proportional to 37.54, 51.78 and 33.88

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Solution

The fourth proportional to 37.54, 51.78 and 33.88 is: 46.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.54 : 51.78 = 33.88 : x
  2. Step 2: Convert to fraction form
    37.54/51.78 = 33.88/x
  3. Step 3: Cross multiply
    37.54x = 51.78 × 33.88
  4. Step 4: Simplify right side
    37.54x = 1,754.31
  5. Step 5: Solve for x
    x = 1,754.31/37.54
  6. Step 6: Final answer
    x = 46.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.