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Finding the Fourth Proportional to 36.53, 50.11 and 35.63

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Solution

The fourth proportional to 36.53, 50.11 and 35.63 is: 48.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.53 : 50.11 = 35.63 : x
  2. Step 2: Convert to fraction form
    36.53/50.11 = 35.63/x
  3. Step 3: Cross multiply
    36.53x = 50.11 × 35.63
  4. Step 4: Simplify right side
    36.53x = 1,785.42
  5. Step 5: Solve for x
    x = 1,785.42/36.53
  6. Step 6: Final answer
    x = 48.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.