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Finding the Fourth Proportional to 36.64, 50.48 and 27.43

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Solution

The fourth proportional to 36.64, 50.48 and 27.43 is: 37.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.64 : 50.48 = 27.43 : x
  2. Step 2: Convert to fraction form
    36.64/50.48 = 27.43/x
  3. Step 3: Cross multiply
    36.64x = 50.48 × 27.43
  4. Step 4: Simplify right side
    36.64x = 1,384.67
  5. Step 5: Solve for x
    x = 1,384.67/36.64
  6. Step 6: Final answer
    x = 37.79

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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.