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Finding the Fourth Proportional to 115.96, 173.85 and 91.84

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Solution

The fourth proportional to 115.96, 173.85 and 91.84 is: 137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 173.85 = 91.84 : x
  2. Step 2: Convert to fraction form
    115.96/173.85 = 91.84/x
  3. Step 3: Cross multiply
    115.96x = 173.85 × 91.84
  4. Step 4: Simplify right side
    115.96x = 15,966.38
  5. Step 5: Solve for x
    x = 15,966.38/115.96
  6. Step 6: Final answer
    x = 137.69

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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.