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Finding the Fourth Proportional to 96.99, 144.77 and 84.84

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Solution

The fourth proportional to 96.99, 144.77 and 84.84 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.99 : 144.77 = 84.84 : x
  2. Step 2: Convert to fraction form
    96.99/144.77 = 84.84/x
  3. Step 3: Cross multiply
    96.99x = 144.77 × 84.84
  4. Step 4: Simplify right side
    96.99x = 12,282.29
  5. Step 5: Solve for x
    x = 12,282.29/96.99
  6. Step 6: Final answer
    x = 126.63

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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.