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Finding the Fourth Proportional to 37.74, 56.33 and 36.82

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Solution

The fourth proportional to 37.74, 56.33 and 36.82 is: 54.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.74 : 56.33 = 36.82 : x
  2. Step 2: Convert to fraction form
    37.74/56.33 = 36.82/x
  3. Step 3: Cross multiply
    37.74x = 56.33 × 36.82
  4. Step 4: Simplify right side
    37.74x = 2,074.07
  5. Step 5: Solve for x
    x = 2,074.07/37.74
  6. Step 6: Final answer
    x = 54.96

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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.