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Finding the Fourth Proportional to 130.11, 194.85 and 113.96

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Solution

The fourth proportional to 130.11, 194.85 and 113.96 is: 170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 194.85 = 113.96 : x
  2. Step 2: Convert to fraction form
    130.11/194.85 = 113.96/x
  3. Step 3: Cross multiply
    130.11x = 194.85 × 113.96
  4. Step 4: Simplify right side
    130.11x = 22,204.13
  5. Step 5: Solve for x
    x = 22,204.13/130.11
  6. Step 6: Final answer
    x = 170.66

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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.