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Finding the Fourth Proportional to 142.18, 212.97 and 120.73

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Solution

The fourth proportional to 142.18, 212.97 and 120.73 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 212.97 = 120.73 : x
  2. Step 2: Convert to fraction form
    142.18/212.97 = 120.73/x
  3. Step 3: Cross multiply
    142.18x = 212.97 × 120.73
  4. Step 4: Simplify right side
    142.18x = 25,711.87
  5. Step 5: Solve for x
    x = 25,711.87/142.18
  6. Step 6: Final answer
    x = 180.84

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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.