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Finding the Fourth Proportional to 115.30, 173.17 and 111.07

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Solution

The fourth proportional to 115.30, 173.17 and 111.07 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 173.17 = 111.07 : x
  2. Step 2: Convert to fraction form
    115.30/173.17 = 111.07/x
  3. Step 3: Cross multiply
    115.30x = 173.17 × 111.07
  4. Step 4: Simplify right side
    115.30x = 19,232.85
  5. Step 5: Solve for x
    x = 19,232.85/115.30
  6. Step 6: Final answer
    x = 166.81

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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.