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Finding the Fourth Proportional to 129.32, 178.71 and 105.96

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Solution

The fourth proportional to 129.32, 178.71 and 105.96 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 178.71 = 105.96 : x
  2. Step 2: Convert to fraction form
    129.32/178.71 = 105.96/x
  3. Step 3: Cross multiply
    129.32x = 178.71 × 105.96
  4. Step 4: Simplify right side
    129.32x = 18,936.78
  5. Step 5: Solve for x
    x = 18,936.78/129.32
  6. Step 6: Final answer
    x = 146.44

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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.