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Finding the Fourth Proportional to 162.67, 243.91 and 111.37

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Solution

The fourth proportional to 162.67, 243.91 and 111.37 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.67 : 243.91 = 111.37 : x
  2. Step 2: Convert to fraction form
    162.67/243.91 = 111.37/x
  3. Step 3: Cross multiply
    162.67x = 243.91 × 111.37
  4. Step 4: Simplify right side
    162.67x = 27,163.65
  5. Step 5: Solve for x
    x = 27,163.65/162.67
  6. Step 6: Final answer
    x = 166.99

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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.