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Finding the Fourth Proportional to 163.10, 224.85 and 125.82

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Solution

The fourth proportional to 163.10, 224.85 and 125.82 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.10 : 224.85 = 125.82 : x
  2. Step 2: Convert to fraction form
    163.10/224.85 = 125.82/x
  3. Step 3: Cross multiply
    163.10x = 224.85 × 125.82
  4. Step 4: Simplify right side
    163.10x = 28,291.10
  5. Step 5: Solve for x
    x = 28,291.10/163.10
  6. Step 6: Final answer
    x = 173.46

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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.