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Finding the Fourth Proportional to 141.82, 212.73 and 73.27

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Solution

The fourth proportional to 141.82, 212.73 and 73.27 is: 109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 212.73 = 73.27 : x
  2. Step 2: Convert to fraction form
    141.82/212.73 = 73.27/x
  3. Step 3: Cross multiply
    141.82x = 212.73 × 73.27
  4. Step 4: Simplify right side
    141.82x = 15,586.73
  5. Step 5: Solve for x
    x = 15,586.73/141.82
  6. Step 6: Final answer
    x = 109.91

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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.