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Finding the Fourth Proportional to 141.13, 194.25 and 120.34

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Solution

The fourth proportional to 141.13, 194.25 and 120.34 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.13 : 194.25 = 120.34 : x
  2. Step 2: Convert to fraction form
    141.13/194.25 = 120.34/x
  3. Step 3: Cross multiply
    141.13x = 194.25 × 120.34
  4. Step 4: Simplify right side
    141.13x = 23,376.05
  5. Step 5: Solve for x
    x = 23,376.05/141.13
  6. Step 6: Final answer
    x = 165.63

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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.