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Finding the Fourth Proportional to 37.98, 52.48 and 27.65

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Solution

The fourth proportional to 37.98, 52.48 and 27.65 is: 38.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.98 : 52.48 = 27.65 : x
  2. Step 2: Convert to fraction form
    37.98/52.48 = 27.65/x
  3. Step 3: Cross multiply
    37.98x = 52.48 × 27.65
  4. Step 4: Simplify right side
    37.98x = 1,451.07
  5. Step 5: Solve for x
    x = 1,451.07/37.98
  6. Step 6: Final answer
    x = 38.21

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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.