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Finding the Fourth Proportional to 132.62, 198.94 and 47.12

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Solution

The fourth proportional to 132.62, 198.94 and 47.12 is: 70.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.62 : 198.94 = 47.12 : x
  2. Step 2: Convert to fraction form
    132.62/198.94 = 47.12/x
  3. Step 3: Cross multiply
    132.62x = 198.94 × 47.12
  4. Step 4: Simplify right side
    132.62x = 9,374.05
  5. Step 5: Solve for x
    x = 9,374.05/132.62
  6. Step 6: Final answer
    x = 70.68

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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.