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Finding the Fourth Proportional to 141.98, 212.82 and 96.22

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Solution

The fourth proportional to 141.98, 212.82 and 96.22 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.98 : 212.82 = 96.22 : x
  2. Step 2: Convert to fraction form
    141.98/212.82 = 96.22/x
  3. Step 3: Cross multiply
    141.98x = 212.82 × 96.22
  4. Step 4: Simplify right side
    141.98x = 20,477.54
  5. Step 5: Solve for x
    x = 20,477.54/141.98
  6. Step 6: Final answer
    x = 144.23

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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.