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Finding the Fourth Proportional to 36.05, 54.13 and 23.87

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Solution

The fourth proportional to 36.05, 54.13 and 23.87 is: 35.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.05 : 54.13 = 23.87 : x
  2. Step 2: Convert to fraction form
    36.05/54.13 = 23.87/x
  3. Step 3: Cross multiply
    36.05x = 54.13 × 23.87
  4. Step 4: Simplify right side
    36.05x = 1,292.08
  5. Step 5: Solve for x
    x = 1,292.08/36.05
  6. Step 6: Final answer
    x = 35.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.