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Finding the Fourth Proportional to 133.67, 199.23 and 125.78

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Solution

The fourth proportional to 133.67, 199.23 and 125.78 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.67 : 199.23 = 125.78 : x
  2. Step 2: Convert to fraction form
    133.67/199.23 = 125.78/x
  3. Step 3: Cross multiply
    133.67x = 199.23 × 125.78
  4. Step 4: Simplify right side
    133.67x = 25,058.15
  5. Step 5: Solve for x
    x = 25,058.15/133.67
  6. Step 6: Final answer
    x = 187.47

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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.