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Finding the Fourth Proportional to 215.43, 323.09 and 85.39

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Solution

The fourth proportional to 215.43, 323.09 and 85.39 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.43 : 323.09 = 85.39 : x
  2. Step 2: Convert to fraction form
    215.43/323.09 = 85.39/x
  3. Step 3: Cross multiply
    215.43x = 323.09 × 85.39
  4. Step 4: Simplify right side
    215.43x = 27,588.66
  5. Step 5: Solve for x
    x = 27,588.66/215.43
  6. Step 6: Final answer
    x = 128.06

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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.