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Finding the Fourth Proportional to 96.44, 144.89 and 92.80

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Solution

The fourth proportional to 96.44, 144.89 and 92.80 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.44 : 144.89 = 92.80 : x
  2. Step 2: Convert to fraction form
    96.44/144.89 = 92.80/x
  3. Step 3: Cross multiply
    96.44x = 144.89 × 92.80
  4. Step 4: Simplify right side
    96.44x = 13,445.04
  5. Step 5: Solve for x
    x = 13,445.04/96.44
  6. Step 6: Final answer
    x = 139.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.