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Finding the Fourth Proportional to 129.60, 194.67 and 105.30

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Solution

The fourth proportional to 129.60, 194.67 and 105.30 is: 158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 194.67 = 105.30 : x
  2. Step 2: Convert to fraction form
    129.60/194.67 = 105.30/x
  3. Step 3: Cross multiply
    129.60x = 194.67 × 105.30
  4. Step 4: Simplify right side
    129.60x = 20,498.75
  5. Step 5: Solve for x
    x = 20,498.75/129.60
  6. Step 6: Final answer
    x = 158.17

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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.