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Finding the Fourth Proportional to 133.77, 200.17 and 82.42

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Solution

The fourth proportional to 133.77, 200.17 and 82.42 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 200.17 = 82.42 : x
  2. Step 2: Convert to fraction form
    133.77/200.17 = 82.42/x
  3. Step 3: Cross multiply
    133.77x = 200.17 × 82.42
  4. Step 4: Simplify right side
    133.77x = 16,498.01
  5. Step 5: Solve for x
    x = 16,498.01/133.77
  6. Step 6: Final answer
    x = 123.33

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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.