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Finding the Fourth Proportional to 36.24, 54.32 and 18.19

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Solution

The fourth proportional to 36.24, 54.32 and 18.19 is: 27.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.24 : 54.32 = 18.19 : x
  2. Step 2: Convert to fraction form
    36.24/54.32 = 18.19/x
  3. Step 3: Cross multiply
    36.24x = 54.32 × 18.19
  4. Step 4: Simplify right side
    36.24x = 988.08
  5. Step 5: Solve for x
    x = 988.08/36.24
  6. Step 6: Final answer
    x = 27.26

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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.