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Finding the Fourth Proportional to 115.62, 173.49 and 83.82

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Solution

The fourth proportional to 115.62, 173.49 and 83.82 is: 125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.62 : 173.49 = 83.82 : x
  2. Step 2: Convert to fraction form
    115.62/173.49 = 83.82/x
  3. Step 3: Cross multiply
    115.62x = 173.49 × 83.82
  4. Step 4: Simplify right side
    115.62x = 14,541.93
  5. Step 5: Solve for x
    x = 14,541.93/115.62
  6. Step 6: Final answer
    x = 125.77

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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.