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Finding the Fourth Proportional to 141.72, 212.44 and 96.09

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Solution

The fourth proportional to 141.72, 212.44 and 96.09 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 212.44 = 96.09 : x
  2. Step 2: Convert to fraction form
    141.72/212.44 = 96.09/x
  3. Step 3: Cross multiply
    141.72x = 212.44 × 96.09
  4. Step 4: Simplify right side
    141.72x = 20,413.70
  5. Step 5: Solve for x
    x = 20,413.70/141.72
  6. Step 6: Final answer
    x = 144.04

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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.