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Finding the Fourth Proportional to 96.17, 144.16 and 44.82

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Solution

The fourth proportional to 96.17, 144.16 and 44.82 is: 67.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.17 : 144.16 = 44.82 : x
  2. Step 2: Convert to fraction form
    96.17/144.16 = 44.82/x
  3. Step 3: Cross multiply
    96.17x = 144.16 × 44.82
  4. Step 4: Simplify right side
    96.17x = 6,461.14
  5. Step 5: Solve for x
    x = 6,461.14/96.17
  6. Step 6: Final answer
    x = 67.19

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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.