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Finding the Fourth Proportional to 36.63, 50.55 and 23.70

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Solution

The fourth proportional to 36.63, 50.55 and 23.70 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 50.55 = 23.70 : x
  2. Step 2: Convert to fraction form
    36.63/50.55 = 23.70/x
  3. Step 3: Cross multiply
    36.63x = 50.55 × 23.70
  4. Step 4: Simplify right side
    36.63x = 1,198.04
  5. Step 5: Solve for x
    x = 1,198.04/36.63
  6. Step 6: Final answer
    x = 32.71

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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.