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Finding the Fourth Proportional to 133.52, 200.08 and 82.16

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Solution

The fourth proportional to 133.52, 200.08 and 82.16 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 200.08 = 82.16 : x
  2. Step 2: Convert to fraction form
    133.52/200.08 = 82.16/x
  3. Step 3: Cross multiply
    133.52x = 200.08 × 82.16
  4. Step 4: Simplify right side
    133.52x = 16,438.57
  5. Step 5: Solve for x
    x = 16,438.57/133.52
  6. Step 6: Final answer
    x = 123.12

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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.