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Finding the Fourth Proportional to 157.31, 217.09 and 86.41

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Solution

The fourth proportional to 157.31, 217.09 and 86.41 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.31 : 217.09 = 86.41 : x
  2. Step 2: Convert to fraction form
    157.31/217.09 = 86.41/x
  3. Step 3: Cross multiply
    157.31x = 217.09 × 86.41
  4. Step 4: Simplify right side
    157.31x = 18,759.34
  5. Step 5: Solve for x
    x = 18,759.34/157.31
  6. Step 6: Final answer
    x = 119.25

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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.