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Finding the Fourth Proportional to 115.16, 173.10 and 106.70

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Solution

The fourth proportional to 115.16, 173.10 and 106.70 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.16 : 173.10 = 106.70 : x
  2. Step 2: Convert to fraction form
    115.16/173.10 = 106.70/x
  3. Step 3: Cross multiply
    115.16x = 173.10 × 106.70
  4. Step 4: Simplify right side
    115.16x = 18,469.30
  5. Step 5: Solve for x
    x = 18,469.30/115.16
  6. Step 6: Final answer
    x = 160.39

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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.