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Finding the Fourth Proportional to 115.66, 173.34 and 85.42

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Solution

The fourth proportional to 115.66, 173.34 and 85.42 is: 128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 173.34 = 85.42 : x
  2. Step 2: Convert to fraction form
    115.66/173.34 = 85.42/x
  3. Step 3: Cross multiply
    115.66x = 173.34 × 85.42
  4. Step 4: Simplify right side
    115.66x = 14,806.70
  5. Step 5: Solve for x
    x = 14,806.70/115.66
  6. Step 6: Final answer
    x = 128.02

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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.