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Finding the Fourth Proportional to 36.60, 54.89 and 9.54

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Solution

The fourth proportional to 36.60, 54.89 and 9.54 is: 14.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.60 : 54.89 = 9.54 : x
  2. Step 2: Convert to fraction form
    36.60/54.89 = 9.54/x
  3. Step 3: Cross multiply
    36.60x = 54.89 × 9.54
  4. Step 4: Simplify right side
    36.60x = 523.65
  5. Step 5: Solve for x
    x = 523.65/36.60
  6. Step 6: Final answer
    x = 14.31

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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.