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Finding the Fourth Proportional to 36.57, 50.49 and 23.64

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Solution

The fourth proportional to 36.57, 50.49 and 23.64 is: 32.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.57 : 50.49 = 23.64 : x
  2. Step 2: Convert to fraction form
    36.57/50.49 = 23.64/x
  3. Step 3: Cross multiply
    36.57x = 50.49 × 23.64
  4. Step 4: Simplify right side
    36.57x = 1,193.58
  5. Step 5: Solve for x
    x = 1,193.58/36.57
  6. Step 6: Final answer
    x = 32.64

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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.