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Finding the Fourth Proportional to 132.44, 198.64 and 36.24

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Solution

The fourth proportional to 132.44, 198.64 and 36.24 is: 54.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.44 : 198.64 = 36.24 : x
  2. Step 2: Convert to fraction form
    132.44/198.64 = 36.24/x
  3. Step 3: Cross multiply
    132.44x = 198.64 × 36.24
  4. Step 4: Simplify right side
    132.44x = 7,198.71
  5. Step 5: Solve for x
    x = 7,198.71/132.44
  6. Step 6: Final answer
    x = 54.35

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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.