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Finding the Fourth Proportional to 96.97, 144.85 and 82.45

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Solution

The fourth proportional to 96.97, 144.85 and 82.45 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 144.85 = 82.45 : x
  2. Step 2: Convert to fraction form
    96.97/144.85 = 82.45/x
  3. Step 3: Cross multiply
    96.97x = 144.85 × 82.45
  4. Step 4: Simplify right side
    96.97x = 11,942.88
  5. Step 5: Solve for x
    x = 11,942.88/96.97
  6. Step 6: Final answer
    x = 123.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.