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Finding the Fourth Proportional to 118.17, 163.09 and 81.35

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Solution

The fourth proportional to 118.17, 163.09 and 81.35 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.17 : 163.09 = 81.35 : x
  2. Step 2: Convert to fraction form
    118.17/163.09 = 81.35/x
  3. Step 3: Cross multiply
    118.17x = 163.09 × 81.35
  4. Step 4: Simplify right side
    118.17x = 13,267.37
  5. Step 5: Solve for x
    x = 13,267.37/118.17
  6. Step 6: Final answer
    x = 112.27

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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.