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Finding the Fourth Proportional to 133.41, 183.90 and 102.26

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Solution

The fourth proportional to 133.41, 183.90 and 102.26 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.41 : 183.90 = 102.26 : x
  2. Step 2: Convert to fraction form
    133.41/183.90 = 102.26/x
  3. Step 3: Cross multiply
    133.41x = 183.90 × 102.26
  4. Step 4: Simplify right side
    133.41x = 18,805.61
  5. Step 5: Solve for x
    x = 18,805.61/133.41
  6. Step 6: Final answer
    x = 140.96

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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.