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Finding the Fourth Proportional to 24.27, 36.59 and 22.80

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Solution

The fourth proportional to 24.27, 36.59 and 22.80 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.27 : 36.59 = 22.80 : x
  2. Step 2: Convert to fraction form
    24.27/36.59 = 22.80/x
  3. Step 3: Cross multiply
    24.27x = 36.59 × 22.80
  4. Step 4: Simplify right side
    24.27x = 834.14
  5. Step 5: Solve for x
    x = 834.14/24.27
  6. Step 6: Final answer
    x = 34.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.