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Finding the Fourth Proportional to 144.81, 217.04 and 83.85

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Solution

The fourth proportional to 144.81, 217.04 and 83.85 is: 125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 217.04 = 83.85 : x
  2. Step 2: Convert to fraction form
    144.81/217.04 = 83.85/x
  3. Step 3: Cross multiply
    144.81x = 217.04 × 83.85
  4. Step 4: Simplify right side
    144.81x = 18,198.38
  5. Step 5: Solve for x
    x = 18,198.38/144.81
  6. Step 6: Final answer
    x = 125.67

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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.