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Finding the Fourth Proportional to 141.18, 194.34 and 120.42

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Solution

The fourth proportional to 141.18, 194.34 and 120.42 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.18 : 194.34 = 120.42 : x
  2. Step 2: Convert to fraction form
    141.18/194.34 = 120.42/x
  3. Step 3: Cross multiply
    141.18x = 194.34 × 120.42
  4. Step 4: Simplify right side
    141.18x = 23,402.42
  5. Step 5: Solve for x
    x = 23,402.42/141.18
  6. Step 6: Final answer
    x = 165.76

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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.