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Finding the Fourth Proportional to 115.89, 173.73 and 85.41

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Solution

The fourth proportional to 115.89, 173.73 and 85.41 is: 128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 173.73 = 85.41 : x
  2. Step 2: Convert to fraction form
    115.89/173.73 = 85.41/x
  3. Step 3: Cross multiply
    115.89x = 173.73 × 85.41
  4. Step 4: Simplify right side
    115.89x = 14,837.85
  5. Step 5: Solve for x
    x = 14,837.85/115.89
  6. Step 6: Final answer
    x = 128.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.