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Finding the Fourth Proportional to 36.96, 51 and 27.74

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Solution

The fourth proportional to 36.96, 51 and 27.74 is: 38.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.96 : 51 = 27.74 : x
  2. Step 2: Convert to fraction form
    36.96/51 = 27.74/x
  3. Step 3: Cross multiply
    36.96x = 51 × 27.74
  4. Step 4: Simplify right side
    36.96x = 1,414.74
  5. Step 5: Solve for x
    x = 1,414.74/36.96
  6. Step 6: Final answer
    x = 38.28

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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.