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Finding the Fourth Proportional to 24.05, 36.01 and 19.21

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Solution

The fourth proportional to 24.05, 36.01 and 19.21 is: 28.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 36.01 = 19.21 : x
  2. Step 2: Convert to fraction form
    24.05/36.01 = 19.21/x
  3. Step 3: Cross multiply
    24.05x = 36.01 × 19.21
  4. Step 4: Simplify right side
    24.05x = 691.75
  5. Step 5: Solve for x
    x = 691.75/24.05
  6. Step 6: Final answer
    x = 28.76

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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.