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Finding the Fourth Proportional to 132.77, 183.17 and 80.28

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Solution

The fourth proportional to 132.77, 183.17 and 80.28 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 183.17 = 80.28 : x
  2. Step 2: Convert to fraction form
    132.77/183.17 = 80.28/x
  3. Step 3: Cross multiply
    132.77x = 183.17 × 80.28
  4. Step 4: Simplify right side
    132.77x = 14,704.49
  5. Step 5: Solve for x
    x = 14,704.49/132.77
  6. Step 6: Final answer
    x = 110.76

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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.