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Finding the Fourth Proportional to 161.09, 240.98 and 96.09

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Solution

The fourth proportional to 161.09, 240.98 and 96.09 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 240.98 = 96.09 : x
  2. Step 2: Convert to fraction form
    161.09/240.98 = 96.09/x
  3. Step 3: Cross multiply
    161.09x = 240.98 × 96.09
  4. Step 4: Simplify right side
    161.09x = 23,154.38
  5. Step 5: Solve for x
    x = 23,154.38/161.09
  6. Step 6: Final answer
    x = 143.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.