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Finding the Fourth Proportional to 132.16, 182.32 and 80.44

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Solution

The fourth proportional to 132.16, 182.32 and 80.44 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 182.32 = 80.44 : x
  2. Step 2: Convert to fraction form
    132.16/182.32 = 80.44/x
  3. Step 3: Cross multiply
    132.16x = 182.32 × 80.44
  4. Step 4: Simplify right side
    132.16x = 14,665.82
  5. Step 5: Solve for x
    x = 14,665.82/132.16
  6. Step 6: Final answer
    x = 110.97

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Why These Related Problems?

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