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Finding the Fourth Proportional to 129.10, 194.10 and 109.30

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Solution

The fourth proportional to 129.10, 194.10 and 109.30 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 194.10 = 109.30 : x
  2. Step 2: Convert to fraction form
    129.10/194.10 = 109.30/x
  3. Step 3: Cross multiply
    129.10x = 194.10 × 109.30
  4. Step 4: Simplify right side
    129.10x = 21,215.13
  5. Step 5: Solve for x
    x = 21,215.13/129.10
  6. Step 6: Final answer
    x = 164.33

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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.