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Finding the Fourth Proportional to 24.23, 36.42 and 22.63

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Solution

The fourth proportional to 24.23, 36.42 and 22.63 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.23 : 36.42 = 22.63 : x
  2. Step 2: Convert to fraction form
    24.23/36.42 = 22.63/x
  3. Step 3: Cross multiply
    24.23x = 36.42 × 22.63
  4. Step 4: Simplify right side
    24.23x = 824.18
  5. Step 5: Solve for x
    x = 824.18/24.23
  6. Step 6: Final answer
    x = 34.02

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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.