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Finding the Fourth Proportional to 36.85, 55.14 and 24.66

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Solution

The fourth proportional to 36.85, 55.14 and 24.66 is: 36.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.85 : 55.14 = 24.66 : x
  2. Step 2: Convert to fraction form
    36.85/55.14 = 24.66/x
  3. Step 3: Cross multiply
    36.85x = 55.14 × 24.66
  4. Step 4: Simplify right side
    36.85x = 1,359.75
  5. Step 5: Solve for x
    x = 1,359.75/36.85
  6. Step 6: Final answer
    x = 36.90

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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.