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Finding the Fourth Proportional to 36.01, 54.22 and 32.23

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Solution

The fourth proportional to 36.01, 54.22 and 32.23 is: 48.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.01 : 54.22 = 32.23 : x
  2. Step 2: Convert to fraction form
    36.01/54.22 = 32.23/x
  3. Step 3: Cross multiply
    36.01x = 54.22 × 32.23
  4. Step 4: Simplify right side
    36.01x = 1,747.51
  5. Step 5: Solve for x
    x = 1,747.51/36.01
  6. Step 6: Final answer
    x = 48.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.