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Finding the Fourth Proportional to 133.92, 201.21 and 85.19

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Solution

The fourth proportional to 133.92, 201.21 and 85.19 is: 128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.92 : 201.21 = 85.19 : x
  2. Step 2: Convert to fraction form
    133.92/201.21 = 85.19/x
  3. Step 3: Cross multiply
    133.92x = 201.21 × 85.19
  4. Step 4: Simplify right side
    133.92x = 17,140.66
  5. Step 5: Solve for x
    x = 17,140.66/133.92
  6. Step 6: Final answer
    x = 128.00

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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.