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Finding the Fourth Proportional to 163.15, 225.21 and 107.79

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Solution

The fourth proportional to 163.15, 225.21 and 107.79 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 225.21 = 107.79 : x
  2. Step 2: Convert to fraction form
    163.15/225.21 = 107.79/x
  3. Step 3: Cross multiply
    163.15x = 225.21 × 107.79
  4. Step 4: Simplify right side
    163.15x = 24,274.26
  5. Step 5: Solve for x
    x = 24,274.26/163.15
  6. Step 6: Final answer
    x = 148.79

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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.