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Finding the Fourth Proportional to 133.44, 200.12 and 71.72

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Solution

The fourth proportional to 133.44, 200.12 and 71.72 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 200.12 = 71.72 : x
  2. Step 2: Convert to fraction form
    133.44/200.12 = 71.72/x
  3. Step 3: Cross multiply
    133.44x = 200.12 × 71.72
  4. Step 4: Simplify right side
    133.44x = 14,352.61
  5. Step 5: Solve for x
    x = 14,352.61/133.44
  6. Step 6: Final answer
    x = 107.56

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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.