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Finding the Fourth Proportional to 161.41, 222.66 and 99.19

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Solution

The fourth proportional to 161.41, 222.66 and 99.19 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.41 : 222.66 = 99.19 : x
  2. Step 2: Convert to fraction form
    161.41/222.66 = 99.19/x
  3. Step 3: Cross multiply
    161.41x = 222.66 × 99.19
  4. Step 4: Simplify right side
    161.41x = 22,085.65
  5. Step 5: Solve for x
    x = 22,085.65/161.41
  6. Step 6: Final answer
    x = 136.83

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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.