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Finding the Fourth Proportional to 37.48, 51.75 and 27.82

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Solution

The fourth proportional to 37.48, 51.75 and 27.82 is: 38.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.48 : 51.75 = 27.82 : x
  2. Step 2: Convert to fraction form
    37.48/51.75 = 27.82/x
  3. Step 3: Cross multiply
    37.48x = 51.75 × 27.82
  4. Step 4: Simplify right side
    37.48x = 1,439.69
  5. Step 5: Solve for x
    x = 1,439.69/37.48
  6. Step 6: Final answer
    x = 38.41

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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.