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Finding the Fourth Proportional to 133.94, 201.33 and 111.26

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Solution

The fourth proportional to 133.94, 201.33 and 111.26 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 201.33 = 111.26 : x
  2. Step 2: Convert to fraction form
    133.94/201.33 = 111.26/x
  3. Step 3: Cross multiply
    133.94x = 201.33 × 111.26
  4. Step 4: Simplify right side
    133.94x = 22,400.90
  5. Step 5: Solve for x
    x = 22,400.90/133.94
  6. Step 6: Final answer
    x = 167.24

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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.