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Finding the Fourth Proportional to 36.85, 50.75 and 31.67

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Solution

The fourth proportional to 36.85, 50.75 and 31.67 is: 43.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.85 : 50.75 = 31.67 : x
  2. Step 2: Convert to fraction form
    36.85/50.75 = 31.67/x
  3. Step 3: Cross multiply
    36.85x = 50.75 × 31.67
  4. Step 4: Simplify right side
    36.85x = 1,606.90
  5. Step 5: Solve for x
    x = 1,606.90/36.85
  6. Step 6: Final answer
    x = 43.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.