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Finding the Fourth Proportional to 107.99, 149.06 and 68.71

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Solution

The fourth proportional to 107.99, 149.06 and 68.71 is: 94.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.99 : 149.06 = 68.71 : x
  2. Step 2: Convert to fraction form
    107.99/149.06 = 68.71/x
  3. Step 3: Cross multiply
    107.99x = 149.06 × 68.71
  4. Step 4: Simplify right side
    107.99x = 10,241.91
  5. Step 5: Solve for x
    x = 10,241.91/107.99
  6. Step 6: Final answer
    x = 94.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.