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Finding the Fourth Proportional to 141.96, 211.92 and 129.84

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Solution

The fourth proportional to 141.96, 211.92 and 129.84 is: 193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.96 : 211.92 = 129.84 : x
  2. Step 2: Convert to fraction form
    141.96/211.92 = 129.84/x
  3. Step 3: Cross multiply
    141.96x = 211.92 × 129.84
  4. Step 4: Simplify right side
    141.96x = 27,515.69
  5. Step 5: Solve for x
    x = 27,515.69/141.96
  6. Step 6: Final answer
    x = 193.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.