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Finding the Fourth Proportional to 201.57, 302.42 and 85.96

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Solution

The fourth proportional to 201.57, 302.42 and 85.96 is: 128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.57 : 302.42 = 85.96 : x
  2. Step 2: Convert to fraction form
    201.57/302.42 = 85.96/x
  3. Step 3: Cross multiply
    201.57x = 302.42 × 85.96
  4. Step 4: Simplify right side
    201.57x = 25,996.02
  5. Step 5: Solve for x
    x = 25,996.02/201.57
  6. Step 6: Final answer
    x = 128.97

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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.