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Finding the Fourth Proportional to 115.67, 173.31 and 111.41

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Solution

The fourth proportional to 115.67, 173.31 and 111.41 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.67 : 173.31 = 111.41 : x
  2. Step 2: Convert to fraction form
    115.67/173.31 = 111.41/x
  3. Step 3: Cross multiply
    115.67x = 173.31 × 111.41
  4. Step 4: Simplify right side
    115.67x = 19,308.47
  5. Step 5: Solve for x
    x = 19,308.47/115.67
  6. Step 6: Final answer
    x = 166.93

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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.