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Finding the Fourth Proportional to 141.84, 195.89 and 122.13

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Solution

The fourth proportional to 141.84, 195.89 and 122.13 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 195.89 = 122.13 : x
  2. Step 2: Convert to fraction form
    141.84/195.89 = 122.13/x
  3. Step 3: Cross multiply
    141.84x = 195.89 × 122.13
  4. Step 4: Simplify right side
    141.84x = 23,923.44
  5. Step 5: Solve for x
    x = 23,923.44/141.84
  6. Step 6: Final answer
    x = 168.66

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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.