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Finding the Fourth Proportional to 157.97, 217.90 and 102.03

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Solution

The fourth proportional to 157.97, 217.90 and 102.03 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 217.90 = 102.03 : x
  2. Step 2: Convert to fraction form
    157.97/217.90 = 102.03/x
  3. Step 3: Cross multiply
    157.97x = 217.90 × 102.03
  4. Step 4: Simplify right side
    157.97x = 22,232.46
  5. Step 5: Solve for x
    x = 22,232.46/157.97
  6. Step 6: Final answer
    x = 140.74

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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.