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Finding the Fourth Proportional to 129.65, 194.60 and 105.55

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Solution

The fourth proportional to 129.65, 194.60 and 105.55 is: 158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.65 : 194.60 = 105.55 : x
  2. Step 2: Convert to fraction form
    129.65/194.60 = 105.55/x
  3. Step 3: Cross multiply
    129.65x = 194.60 × 105.55
  4. Step 4: Simplify right side
    129.65x = 20,539.02
  5. Step 5: Solve for x
    x = 20,539.02/129.65
  6. Step 6: Final answer
    x = 158.43

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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.