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Finding the Fourth Proportional to 36.41, 54.59 and 12.35

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Solution

The fourth proportional to 36.41, 54.59 and 12.35 is: 18.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.41 : 54.59 = 12.35 : x
  2. Step 2: Convert to fraction form
    36.41/54.59 = 12.35/x
  3. Step 3: Cross multiply
    36.41x = 54.59 × 12.35
  4. Step 4: Simplify right side
    36.41x = 673.85
  5. Step 5: Solve for x
    x = 673.85/36.41
  6. Step 6: Final answer
    x = 18.51

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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.