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Finding the Fourth Proportional to 133.23, 183.86 and 74.22

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Solution

The fourth proportional to 133.23, 183.86 and 74.22 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.23 : 183.86 = 74.22 : x
  2. Step 2: Convert to fraction form
    133.23/183.86 = 74.22/x
  3. Step 3: Cross multiply
    133.23x = 183.86 × 74.22
  4. Step 4: Simplify right side
    133.23x = 13,645.44
  5. Step 5: Solve for x
    x = 13,645.44/133.23
  6. Step 6: Final answer
    x = 102.42

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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.