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Finding the Fourth Proportional to 129.64, 178.96 and 96.96

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Solution

The fourth proportional to 129.64, 178.96 and 96.96 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.64 : 178.96 = 96.96 : x
  2. Step 2: Convert to fraction form
    129.64/178.96 = 96.96/x
  3. Step 3: Cross multiply
    129.64x = 178.96 × 96.96
  4. Step 4: Simplify right side
    129.64x = 17,351.96
  5. Step 5: Solve for x
    x = 17,351.96/129.64
  6. Step 6: Final answer
    x = 133.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.