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Finding the Fourth Proportional to 132.26, 198.34 and 51.05

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Solution

The fourth proportional to 132.26, 198.34 and 51.05 is: 76.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.26 : 198.34 = 51.05 : x
  2. Step 2: Convert to fraction form
    132.26/198.34 = 51.05/x
  3. Step 3: Cross multiply
    132.26x = 198.34 × 51.05
  4. Step 4: Simplify right side
    132.26x = 10,125.63
  5. Step 5: Solve for x
    x = 10,125.63/132.26
  6. Step 6: Final answer
    x = 76.56

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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.