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Finding the Fourth Proportional to 133.65, 200.43 and 82.32

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Solution

The fourth proportional to 133.65, 200.43 and 82.32 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.65 : 200.43 = 82.32 : x
  2. Step 2: Convert to fraction form
    133.65/200.43 = 82.32/x
  3. Step 3: Cross multiply
    133.65x = 200.43 × 82.32
  4. Step 4: Simplify right side
    133.65x = 16,497.98
  5. Step 5: Solve for x
    x = 16,497.98/133.65
  6. Step 6: Final answer
    x = 123.44

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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.