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Finding the Fourth Proportional to 132, 198 and 106.53

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Solution

The fourth proportional to 132, 198 and 106.53 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 198 = 106.53 : x
  2. Step 2: Convert to fraction form
    132/198 = 106.53/x
  3. Step 3: Cross multiply
    132x = 198 × 106.53
  4. Step 4: Simplify right side
    132x = 21,092.94
  5. Step 5: Solve for x
    x = 21,092.94/132
  6. Step 6: Final answer
    x = 159.80

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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.