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Finding the Fourth Proportional to 36.21, 49.71 and 36.03

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Solution

The fourth proportional to 36.21, 49.71 and 36.03 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.21 : 49.71 = 36.03 : x
  2. Step 2: Convert to fraction form
    36.21/49.71 = 36.03/x
  3. Step 3: Cross multiply
    36.21x = 49.71 × 36.03
  4. Step 4: Simplify right side
    36.21x = 1,791.05
  5. Step 5: Solve for x
    x = 1,791.05/36.21
  6. Step 6: Final answer
    x = 49.46

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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.