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Finding the Fourth Proportional to 133.28, 184.04 and 111.68

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Solution

The fourth proportional to 133.28, 184.04 and 111.68 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.28 : 184.04 = 111.68 : x
  2. Step 2: Convert to fraction form
    133.28/184.04 = 111.68/x
  3. Step 3: Cross multiply
    133.28x = 184.04 × 111.68
  4. Step 4: Simplify right side
    133.28x = 20,553.59
  5. Step 5: Solve for x
    x = 20,553.59/133.28
  6. Step 6: Final answer
    x = 154.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.