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Finding the Fourth Proportional to 133.46, 200.08 and 96.82

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Solution

The fourth proportional to 133.46, 200.08 and 96.82 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.46 : 200.08 = 96.82 : x
  2. Step 2: Convert to fraction form
    133.46/200.08 = 96.82/x
  3. Step 3: Cross multiply
    133.46x = 200.08 × 96.82
  4. Step 4: Simplify right side
    133.46x = 19,371.75
  5. Step 5: Solve for x
    x = 19,371.75/133.46
  6. Step 6: Final answer
    x = 145.15

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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.