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Finding the Fourth Proportional to 36.08, 49.78 and 23.78

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Solution

The fourth proportional to 36.08, 49.78 and 23.78 is: 32.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.08 : 49.78 = 23.78 : x
  2. Step 2: Convert to fraction form
    36.08/49.78 = 23.78/x
  3. Step 3: Cross multiply
    36.08x = 49.78 × 23.78
  4. Step 4: Simplify right side
    36.08x = 1,183.77
  5. Step 5: Solve for x
    x = 1,183.77/36.08
  6. Step 6: Final answer
    x = 32.81

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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.