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Finding the Fourth Proportional to 132.98, 199.46 and 79.22

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Solution

The fourth proportional to 132.98, 199.46 and 79.22 is: 118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 199.46 = 79.22 : x
  2. Step 2: Convert to fraction form
    132.98/199.46 = 79.22/x
  3. Step 3: Cross multiply
    132.98x = 199.46 × 79.22
  4. Step 4: Simplify right side
    132.98x = 15,800.42
  5. Step 5: Solve for x
    x = 15,800.42/132.98
  6. Step 6: Final answer
    x = 118.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.