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Finding the Fourth Proportional to 36.43, 50.23 and 24.14

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Solution

The fourth proportional to 36.43, 50.23 and 24.14 is: 33.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.43 : 50.23 = 24.14 : x
  2. Step 2: Convert to fraction form
    36.43/50.23 = 24.14/x
  3. Step 3: Cross multiply
    36.43x = 50.23 × 24.14
  4. Step 4: Simplify right side
    36.43x = 1,212.55
  5. Step 5: Solve for x
    x = 1,212.55/36.43
  6. Step 6: Final answer
    x = 33.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.