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Finding the Fourth Proportional to 115.79, 173.75 and 106.83

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Solution

The fourth proportional to 115.79, 173.75 and 106.83 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 173.75 = 106.83 : x
  2. Step 2: Convert to fraction form
    115.79/173.75 = 106.83/x
  3. Step 3: Cross multiply
    115.79x = 173.75 × 106.83
  4. Step 4: Simplify right side
    115.79x = 18,561.18
  5. Step 5: Solve for x
    x = 18,561.18/115.79
  6. Step 6: Final answer
    x = 160.31

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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.