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Finding the Fourth Proportional to 115.98, 173.94 and 55.14

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Solution

The fourth proportional to 115.98, 173.94 and 55.14 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 173.94 = 55.14 : x
  2. Step 2: Convert to fraction form
    115.98/173.94 = 55.14/x
  3. Step 3: Cross multiply
    115.98x = 173.94 × 55.14
  4. Step 4: Simplify right side
    115.98x = 9,591.05
  5. Step 5: Solve for x
    x = 9,591.05/115.98
  6. Step 6: Final answer
    x = 82.70

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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.