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Finding the Fourth Proportional to 36.01, 53.97 and 22.48

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Solution

The fourth proportional to 36.01, 53.97 and 22.48 is: 33.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.01 : 53.97 = 22.48 : x
  2. Step 2: Convert to fraction form
    36.01/53.97 = 22.48/x
  3. Step 3: Cross multiply
    36.01x = 53.97 × 22.48
  4. Step 4: Simplify right side
    36.01x = 1,213.03
  5. Step 5: Solve for x
    x = 1,213.03/36.01
  6. Step 6: Final answer
    x = 33.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.