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Finding the Fourth Proportional to 132.58, 198.96 and 51.42

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Solution

The fourth proportional to 132.58, 198.96 and 51.42 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.58 : 198.96 = 51.42 : x
  2. Step 2: Convert to fraction form
    132.58/198.96 = 51.42/x
  3. Step 3: Cross multiply
    132.58x = 198.96 × 51.42
  4. Step 4: Simplify right side
    132.58x = 10,230.25
  5. Step 5: Solve for x
    x = 10,230.25/132.58
  6. Step 6: Final answer
    x = 77.16

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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.