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Finding the Fourth Proportional to 36.22, 54.03 and 34.10

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Solution

The fourth proportional to 36.22, 54.03 and 34.10 is: 50.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 54.03 = 34.10 : x
  2. Step 2: Convert to fraction form
    36.22/54.03 = 34.10/x
  3. Step 3: Cross multiply
    36.22x = 54.03 × 34.10
  4. Step 4: Simplify right side
    36.22x = 1,842.42
  5. Step 5: Solve for x
    x = 1,842.42/36.22
  6. Step 6: Final answer
    x = 50.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.