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Finding the Fourth Proportional to 163.23, 225.12 and 116.61

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Solution

The fourth proportional to 163.23, 225.12 and 116.61 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.23 : 225.12 = 116.61 : x
  2. Step 2: Convert to fraction form
    163.23/225.12 = 116.61/x
  3. Step 3: Cross multiply
    163.23x = 225.12 × 116.61
  4. Step 4: Simplify right side
    163.23x = 26,251.24
  5. Step 5: Solve for x
    x = 26,251.24/163.23
  6. Step 6: Final answer
    x = 160.82

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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.