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Finding the Fourth Proportional to 133.96, 201.28 and 85.23

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Solution

The fourth proportional to 133.96, 201.28 and 85.23 is: 128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 201.28 = 85.23 : x
  2. Step 2: Convert to fraction form
    133.96/201.28 = 85.23/x
  3. Step 3: Cross multiply
    133.96x = 201.28 × 85.23
  4. Step 4: Simplify right side
    133.96x = 17,156.14
  5. Step 5: Solve for x
    x = 17,156.14/133.96
  6. Step 6: Final answer
    x = 128.07

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