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Finding the Fourth Proportional to 36.82, 50.80 and 23

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Solution

The fourth proportional to 36.82, 50.80 and 23 is: 31.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.82 : 50.80 = 23 : x
  2. Step 2: Convert to fraction form
    36.82/50.80 = 23/x
  3. Step 3: Cross multiply
    36.82x = 50.80 × 23
  4. Step 4: Simplify right side
    36.82x = 1,168.40
  5. Step 5: Solve for x
    x = 1,168.40/36.82
  6. Step 6: Final answer
    x = 31.73

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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.