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Finding the Fourth Proportional to 132.09, 198.14 and 49.84

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Solution

The fourth proportional to 132.09, 198.14 and 49.84 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.09 : 198.14 = 49.84 : x
  2. Step 2: Convert to fraction form
    132.09/198.14 = 49.84/x
  3. Step 3: Cross multiply
    132.09x = 198.14 × 49.84
  4. Step 4: Simplify right side
    132.09x = 9,875.05
  5. Step 5: Solve for x
    x = 9,875.05/132.09
  6. Step 6: Final answer
    x = 74.76

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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.