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Finding the Fourth Proportional to 115.88, 173.84 and 61.79

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Solution

The fourth proportional to 115.88, 173.84 and 61.79 is: 92.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.88 : 173.84 = 61.79 : x
  2. Step 2: Convert to fraction form
    115.88/173.84 = 61.79/x
  3. Step 3: Cross multiply
    115.88x = 173.84 × 61.79
  4. Step 4: Simplify right side
    115.88x = 10,741.57
  5. Step 5: Solve for x
    x = 10,741.57/115.88
  6. Step 6: Final answer
    x = 92.70

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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.