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Finding the Fourth Proportional to 132.39, 198.62 and 45.73

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Solution

The fourth proportional to 132.39, 198.62 and 45.73 is: 68.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.39 : 198.62 = 45.73 : x
  2. Step 2: Convert to fraction form
    132.39/198.62 = 45.73/x
  3. Step 3: Cross multiply
    132.39x = 198.62 × 45.73
  4. Step 4: Simplify right side
    132.39x = 9,083.26
  5. Step 5: Solve for x
    x = 9,083.26/132.39
  6. Step 6: Final answer
    x = 68.61

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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.