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Finding the Fourth Proportional to 129, 178.04 and 97.96

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Solution

The fourth proportional to 129, 178.04 and 97.96 is: 135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 178.04 = 97.96 : x
  2. Step 2: Convert to fraction form
    129/178.04 = 97.96/x
  3. Step 3: Cross multiply
    129x = 178.04 × 97.96
  4. Step 4: Simplify right side
    129x = 17,440.80
  5. Step 5: Solve for x
    x = 17,440.80/129
  6. Step 6: Final answer
    x = 135.20

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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.