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Finding the Fourth Proportional to 143.59, 197.94 and 120.21

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Solution

The fourth proportional to 143.59, 197.94 and 120.21 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 197.94 = 120.21 : x
  2. Step 2: Convert to fraction form
    143.59/197.94 = 120.21/x
  3. Step 3: Cross multiply
    143.59x = 197.94 × 120.21
  4. Step 4: Simplify right side
    143.59x = 23,794.37
  5. Step 5: Solve for x
    x = 23,794.37/143.59
  6. Step 6: Final answer
    x = 165.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.