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Finding the Fourth Proportional to 36.80, 50.75 and 24.50

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Solution

The fourth proportional to 36.80, 50.75 and 24.50 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.80 : 50.75 = 24.50 : x
  2. Step 2: Convert to fraction form
    36.80/50.75 = 24.50/x
  3. Step 3: Cross multiply
    36.80x = 50.75 × 24.50
  4. Step 4: Simplify right side
    36.80x = 1,243.38
  5. Step 5: Solve for x
    x = 1,243.38/36.80
  6. Step 6: Final answer
    x = 33.79

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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.