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Finding the Fourth Proportional to 142.89, 197.21 and 84.68

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Solution

The fourth proportional to 142.89, 197.21 and 84.68 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.89 : 197.21 = 84.68 : x
  2. Step 2: Convert to fraction form
    142.89/197.21 = 84.68/x
  3. Step 3: Cross multiply
    142.89x = 197.21 × 84.68
  4. Step 4: Simplify right side
    142.89x = 16,700.45
  5. Step 5: Solve for x
    x = 16,700.45/142.89
  6. Step 6: Final answer
    x = 116.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.