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Finding the Fourth Proportional to 129.62, 195.32 and 107.29

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Solution

The fourth proportional to 129.62, 195.32 and 107.29 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 195.32 = 107.29 : x
  2. Step 2: Convert to fraction form
    129.62/195.32 = 107.29/x
  3. Step 3: Cross multiply
    129.62x = 195.32 × 107.29
  4. Step 4: Simplify right side
    129.62x = 20,955.83
  5. Step 5: Solve for x
    x = 20,955.83/129.62
  6. Step 6: Final answer
    x = 161.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.