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Finding the Fourth Proportional to 36.50, 50.38 and 22.69

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Solution

The fourth proportional to 36.50, 50.38 and 22.69 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 50.38 = 22.69 : x
  2. Step 2: Convert to fraction form
    36.50/50.38 = 22.69/x
  3. Step 3: Cross multiply
    36.50x = 50.38 × 22.69
  4. Step 4: Simplify right side
    36.50x = 1,143.12
  5. Step 5: Solve for x
    x = 1,143.12/36.50
  6. Step 6: Final answer
    x = 31.32

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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.