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Finding the Fourth Proportional to 128.82, 191.85 and 119.91

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Solution

The fourth proportional to 128.82, 191.85 and 119.91 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 191.85 = 119.91 : x
  2. Step 2: Convert to fraction form
    128.82/191.85 = 119.91/x
  3. Step 3: Cross multiply
    128.82x = 191.85 × 119.91
  4. Step 4: Simplify right side
    128.82x = 23,004.73
  5. Step 5: Solve for x
    x = 23,004.73/128.82
  6. Step 6: Final answer
    x = 178.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.