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Finding the Fourth Proportional to 163.14, 225.24 and 107.99

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Solution

The fourth proportional to 163.14, 225.24 and 107.99 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 225.24 = 107.99 : x
  2. Step 2: Convert to fraction form
    163.14/225.24 = 107.99/x
  3. Step 3: Cross multiply
    163.14x = 225.24 × 107.99
  4. Step 4: Simplify right side
    163.14x = 24,323.59
  5. Step 5: Solve for x
    x = 24,323.59/163.14
  6. Step 6: Final answer
    x = 149.10

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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.