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Finding the Fourth Proportional to 71.91, 107.73 and 37.67

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Solution

The fourth proportional to 71.91, 107.73 and 37.67 is: 56.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.91 : 107.73 = 37.67 : x
  2. Step 2: Convert to fraction form
    71.91/107.73 = 37.67/x
  3. Step 3: Cross multiply
    71.91x = 107.73 × 37.67
  4. Step 4: Simplify right side
    71.91x = 4,057.65
  5. Step 5: Solve for x
    x = 4,057.65/71.91
  6. Step 6: Final answer
    x = 56.43

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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.