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Finding the Fourth Proportional to 115.57, 173.22 and 83.44

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Solution

The fourth proportional to 115.57, 173.22 and 83.44 is: 125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.57 : 173.22 = 83.44 : x
  2. Step 2: Convert to fraction form
    115.57/173.22 = 83.44/x
  3. Step 3: Cross multiply
    115.57x = 173.22 × 83.44
  4. Step 4: Simplify right side
    115.57x = 14,453.48
  5. Step 5: Solve for x
    x = 14,453.48/115.57
  6. Step 6: Final answer
    x = 125.06

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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.