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Finding the Fourth Proportional to 133.89, 199.87 and 123.87

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Solution

The fourth proportional to 133.89, 199.87 and 123.87 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.89 : 199.87 = 123.87 : x
  2. Step 2: Convert to fraction form
    133.89/199.87 = 123.87/x
  3. Step 3: Cross multiply
    133.89x = 199.87 × 123.87
  4. Step 4: Simplify right side
    133.89x = 24,757.28
  5. Step 5: Solve for x
    x = 24,757.28/133.89
  6. Step 6: Final answer
    x = 184.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.