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Finding the Fourth Proportional to 135.92, 204.89 and 128.09

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Solution

The fourth proportional to 135.92, 204.89 and 128.09 is: 193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 204.89 = 128.09 : x
  2. Step 2: Convert to fraction form
    135.92/204.89 = 128.09/x
  3. Step 3: Cross multiply
    135.92x = 204.89 × 128.09
  4. Step 4: Simplify right side
    135.92x = 26,244.36
  5. Step 5: Solve for x
    x = 26,244.36/135.92
  6. Step 6: Final answer
    x = 193.09

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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.