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Finding the Fourth Proportional to 129.12, 193.44 and 81.04

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Solution

The fourth proportional to 129.12, 193.44 and 81.04 is: 121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 193.44 = 81.04 : x
  2. Step 2: Convert to fraction form
    129.12/193.44 = 81.04/x
  3. Step 3: Cross multiply
    129.12x = 193.44 × 81.04
  4. Step 4: Simplify right side
    129.12x = 15,676.38
  5. Step 5: Solve for x
    x = 15,676.38/129.12
  6. Step 6: Final answer
    x = 121.41

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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.