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Finding the Fourth Proportional to 24.14, 36.00 and 22.27

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Solution

The fourth proportional to 24.14, 36.00 and 22.27 is: 33.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 36.00 = 22.27 : x
  2. Step 2: Convert to fraction form
    24.14/36.00 = 22.27/x
  3. Step 3: Cross multiply
    24.14x = 36.00 × 22.27
  4. Step 4: Simplify right side
    24.14x = 801.87
  5. Step 5: Solve for x
    x = 801.87/24.14
  6. Step 6: Final answer
    x = 33.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.