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Finding the Fourth Proportional to 133.25, 183.87 and 74.23

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Solution

The fourth proportional to 133.25, 183.87 and 74.23 is: 102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 183.87 = 74.23 : x
  2. Step 2: Convert to fraction form
    133.25/183.87 = 74.23/x
  3. Step 3: Cross multiply
    133.25x = 183.87 × 74.23
  4. Step 4: Simplify right side
    133.25x = 13,648.21
  5. Step 5: Solve for x
    x = 13,648.21/133.25
  6. Step 6: Final answer
    x = 102.43

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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.