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Finding the Fourth Proportional to 132.31, 198.48 and 50.04

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Solution

The fourth proportional to 132.31, 198.48 and 50.04 is: 75.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 198.48 = 50.04 : x
  2. Step 2: Convert to fraction form
    132.31/198.48 = 50.04/x
  3. Step 3: Cross multiply
    132.31x = 198.48 × 50.04
  4. Step 4: Simplify right side
    132.31x = 9,931.43
  5. Step 5: Solve for x
    x = 9,931.43/132.31
  6. Step 6: Final answer
    x = 75.06

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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.