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Finding the Fourth Proportional to 36.13, 49.84 and 27.94

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Solution

The fourth proportional to 36.13, 49.84 and 27.94 is: 38.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.13 : 49.84 = 27.94 : x
  2. Step 2: Convert to fraction form
    36.13/49.84 = 27.94/x
  3. Step 3: Cross multiply
    36.13x = 49.84 × 27.94
  4. Step 4: Simplify right side
    36.13x = 1,392.53
  5. Step 5: Solve for x
    x = 1,392.53/36.13
  6. Step 6: Final answer
    x = 38.54

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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.