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Finding the Fourth Proportional to 132.23, 198.32 and 36.02

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Solution

The fourth proportional to 132.23, 198.32 and 36.02 is: 54.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.23 : 198.32 = 36.02 : x
  2. Step 2: Convert to fraction form
    132.23/198.32 = 36.02/x
  3. Step 3: Cross multiply
    132.23x = 198.32 × 36.02
  4. Step 4: Simplify right side
    132.23x = 7,142.31
  5. Step 5: Solve for x
    x = 7,142.31/132.23
  6. Step 6: Final answer
    x = 54.02

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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.