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Finding the Fourth Proportional to 157.97, 217.89 and 102.61

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Solution

The fourth proportional to 157.97, 217.89 and 102.61 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 217.89 = 102.61 : x
  2. Step 2: Convert to fraction form
    157.97/217.89 = 102.61/x
  3. Step 3: Cross multiply
    157.97x = 217.89 × 102.61
  4. Step 4: Simplify right side
    157.97x = 22,357.15
  5. Step 5: Solve for x
    x = 22,357.15/157.97
  6. Step 6: Final answer
    x = 141.53

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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.