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Finding the Fourth Proportional to 36.50, 54.67 and 27.35

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Solution

The fourth proportional to 36.50, 54.67 and 27.35 is: 40.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 54.67 = 27.35 : x
  2. Step 2: Convert to fraction form
    36.50/54.67 = 27.35/x
  3. Step 3: Cross multiply
    36.50x = 54.67 × 27.35
  4. Step 4: Simplify right side
    36.50x = 1,495.22
  5. Step 5: Solve for x
    x = 1,495.22/36.50
  6. Step 6: Final answer
    x = 40.97

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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.