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Finding the Fourth Proportional to 115.22, 171.62 and 107.73

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Solution

The fourth proportional to 115.22, 171.62 and 107.73 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 171.62 = 107.73 : x
  2. Step 2: Convert to fraction form
    115.22/171.62 = 107.73/x
  3. Step 3: Cross multiply
    115.22x = 171.62 × 107.73
  4. Step 4: Simplify right side
    115.22x = 18,488.49
  5. Step 5: Solve for x
    x = 18,488.49/115.22
  6. Step 6: Final answer
    x = 160.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.