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Finding the Fourth Proportional to 161.18, 222.08 and 117.44

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Solution

The fourth proportional to 161.18, 222.08 and 117.44 is: 161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.18 : 222.08 = 117.44 : x
  2. Step 2: Convert to fraction form
    161.18/222.08 = 117.44/x
  3. Step 3: Cross multiply
    161.18x = 222.08 × 117.44
  4. Step 4: Simplify right side
    161.18x = 26,081.08
  5. Step 5: Solve for x
    x = 26,081.08/161.18
  6. Step 6: Final answer
    x = 161.81

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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.