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Finding the Fourth Proportional to 157.28, 217.11 and 102.02

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Solution

The fourth proportional to 157.28, 217.11 and 102.02 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.28 : 217.11 = 102.02 : x
  2. Step 2: Convert to fraction form
    157.28/217.11 = 102.02/x
  3. Step 3: Cross multiply
    157.28x = 217.11 × 102.02
  4. Step 4: Simplify right side
    157.28x = 22,149.56
  5. Step 5: Solve for x
    x = 22,149.56/157.28
  6. Step 6: Final answer
    x = 140.83

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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.