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Finding the Fourth Proportional to 201.01, 301.24 and 85.31

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Solution

The fourth proportional to 201.01, 301.24 and 85.31 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.01 : 301.24 = 85.31 : x
  2. Step 2: Convert to fraction form
    201.01/301.24 = 85.31/x
  3. Step 3: Cross multiply
    201.01x = 301.24 × 85.31
  4. Step 4: Simplify right side
    201.01x = 25,698.78
  5. Step 5: Solve for x
    x = 25,698.78/201.01
  6. Step 6: Final answer
    x = 127.85

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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.