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Finding the Fourth Proportional to 132.67, 182.99 and 106.42

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Solution

The fourth proportional to 132.67, 182.99 and 106.42 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.67 : 182.99 = 106.42 : x
  2. Step 2: Convert to fraction form
    132.67/182.99 = 106.42/x
  3. Step 3: Cross multiply
    132.67x = 182.99 × 106.42
  4. Step 4: Simplify right side
    132.67x = 19,473.80
  5. Step 5: Solve for x
    x = 19,473.80/132.67
  6. Step 6: Final answer
    x = 146.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.