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Finding the Fourth Proportional to 130.20, 194.82 and 109.68

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Solution

The fourth proportional to 130.20, 194.82 and 109.68 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 194.82 = 109.68 : x
  2. Step 2: Convert to fraction form
    130.20/194.82 = 109.68/x
  3. Step 3: Cross multiply
    130.20x = 194.82 × 109.68
  4. Step 4: Simplify right side
    130.20x = 21,367.86
  5. Step 5: Solve for x
    x = 21,367.86/130.20
  6. Step 6: Final answer
    x = 164.12

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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.