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Finding the Fourth Proportional to 80.44, 110.96 and 66.46

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Solution

The fourth proportional to 80.44, 110.96 and 66.46 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 110.96 = 66.46 : x
  2. Step 2: Convert to fraction form
    80.44/110.96 = 66.46/x
  3. Step 3: Cross multiply
    80.44x = 110.96 × 66.46
  4. Step 4: Simplify right side
    80.44x = 7,374.40
  5. Step 5: Solve for x
    x = 7,374.40/80.44
  6. Step 6: Final answer
    x = 91.68

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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.