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Finding the Fourth Proportional to 133.74, 200.32 and 82.22

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Solution

The fourth proportional to 133.74, 200.32 and 82.22 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 200.32 = 82.22 : x
  2. Step 2: Convert to fraction form
    133.74/200.32 = 82.22/x
  3. Step 3: Cross multiply
    133.74x = 200.32 × 82.22
  4. Step 4: Simplify right side
    133.74x = 16,471.26
  5. Step 5: Solve for x
    x = 16,471.26/133.74
  6. Step 6: Final answer
    x = 123.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.