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Finding the Fourth Proportional to 136.97, 205.59 and 85.71

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Solution

The fourth proportional to 136.97, 205.59 and 85.71 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 205.59 = 85.71 : x
  2. Step 2: Convert to fraction form
    136.97/205.59 = 85.71/x
  3. Step 3: Cross multiply
    136.97x = 205.59 × 85.71
  4. Step 4: Simplify right side
    136.97x = 17,620.57
  5. Step 5: Solve for x
    x = 17,620.57/136.97
  6. Step 6: Final answer
    x = 128.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.