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Finding the Fourth Proportional to 133.89, 184.83 and 112.23

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Solution

The fourth proportional to 133.89, 184.83 and 112.23 is: 154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.89 : 184.83 = 112.23 : x
  2. Step 2: Convert to fraction form
    133.89/184.83 = 112.23/x
  3. Step 3: Cross multiply
    133.89x = 184.83 × 112.23
  4. Step 4: Simplify right side
    133.89x = 20,743.47
  5. Step 5: Solve for x
    x = 20,743.47/133.89
  6. Step 6: Final answer
    x = 154.93

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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.