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Finding the Fourth Proportional to 96.87, 144.42 and 95.97

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Solution

The fourth proportional to 96.87, 144.42 and 95.97 is: 143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.87 : 144.42 = 95.97 : x
  2. Step 2: Convert to fraction form
    96.87/144.42 = 95.97/x
  3. Step 3: Cross multiply
    96.87x = 144.42 × 95.97
  4. Step 4: Simplify right side
    96.87x = 13,859.99
  5. Step 5: Solve for x
    x = 13,859.99/96.87
  6. Step 6: Final answer
    x = 143.08

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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.