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Finding the Fourth Proportional to 36.87, 50.84 and 24.60

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Solution

The fourth proportional to 36.87, 50.84 and 24.60 is: 33.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.87 : 50.84 = 24.60 : x
  2. Step 2: Convert to fraction form
    36.87/50.84 = 24.60/x
  3. Step 3: Cross multiply
    36.87x = 50.84 × 24.60
  4. Step 4: Simplify right side
    36.87x = 1,250.66
  5. Step 5: Solve for x
    x = 1,250.66/36.87
  6. Step 6: Final answer
    x = 33.92

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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.