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Finding the Fourth Proportional to 161.09, 222.16 and 129.99

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Solution

The fourth proportional to 161.09, 222.16 and 129.99 is: 179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 222.16 = 129.99 : x
  2. Step 2: Convert to fraction form
    161.09/222.16 = 129.99/x
  3. Step 3: Cross multiply
    161.09x = 222.16 × 129.99
  4. Step 4: Simplify right side
    161.09x = 28,878.81
  5. Step 5: Solve for x
    x = 28,878.81/161.09
  6. Step 6: Final answer
    x = 179.27

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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.