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Finding the Fourth Proportional to 132.69, 183.09 and 80.20

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Solution

The fourth proportional to 132.69, 183.09 and 80.20 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.69 : 183.09 = 80.20 : x
  2. Step 2: Convert to fraction form
    132.69/183.09 = 80.20/x
  3. Step 3: Cross multiply
    132.69x = 183.09 × 80.20
  4. Step 4: Simplify right side
    132.69x = 14,682.50
  5. Step 5: Solve for x
    x = 14,682.50/132.69
  6. Step 6: Final answer
    x = 110.65

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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.