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Finding the Fourth Proportional to 141.30, 194.79 and 120.42

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Solution

The fourth proportional to 141.30, 194.79 and 120.42 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.30 : 194.79 = 120.42 : x
  2. Step 2: Convert to fraction form
    141.30/194.79 = 120.42/x
  3. Step 3: Cross multiply
    141.30x = 194.79 × 120.42
  4. Step 4: Simplify right side
    141.30x = 23,456.61
  5. Step 5: Solve for x
    x = 23,456.61/141.30
  6. Step 6: Final answer
    x = 166.01

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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.