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Finding the Fourth Proportional to 157.75, 217.68 and 102.49

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Solution

The fourth proportional to 157.75, 217.68 and 102.49 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.75 : 217.68 = 102.49 : x
  2. Step 2: Convert to fraction form
    157.75/217.68 = 102.49/x
  3. Step 3: Cross multiply
    157.75x = 217.68 × 102.49
  4. Step 4: Simplify right side
    157.75x = 22,310.02
  5. Step 5: Solve for x
    x = 22,310.02/157.75
  6. Step 6: Final answer
    x = 141.43

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Why These Related Problems?

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