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Finding the Fourth Proportional to 36.18, 54.23 and 19.91

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Solution

The fourth proportional to 36.18, 54.23 and 19.91 is: 29.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.18 : 54.23 = 19.91 : x
  2. Step 2: Convert to fraction form
    36.18/54.23 = 19.91/x
  3. Step 3: Cross multiply
    36.18x = 54.23 × 19.91
  4. Step 4: Simplify right side
    36.18x = 1,080.04
  5. Step 5: Solve for x
    x = 1,080.04/36.18
  6. Step 6: Final answer
    x = 29.85

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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.