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Finding the Fourth Proportional to 141.98, 212.96 and 69.84

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Solution

The fourth proportional to 141.98, 212.96 and 69.84 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.98 : 212.96 = 69.84 : x
  2. Step 2: Convert to fraction form
    141.98/212.96 = 69.84/x
  3. Step 3: Cross multiply
    141.98x = 212.96 × 69.84
  4. Step 4: Simplify right side
    141.98x = 14,873.30
  5. Step 5: Solve for x
    x = 14,873.30/141.98
  6. Step 6: Final answer
    x = 104.76

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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.