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Finding the Fourth Proportional to 157.57, 217.36 and 95.39

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Solution

The fourth proportional to 157.57, 217.36 and 95.39 is: 131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 217.36 = 95.39 : x
  2. Step 2: Convert to fraction form
    157.57/217.36 = 95.39/x
  3. Step 3: Cross multiply
    157.57x = 217.36 × 95.39
  4. Step 4: Simplify right side
    157.57x = 20,733.97
  5. Step 5: Solve for x
    x = 20,733.97/157.57
  6. Step 6: Final answer
    x = 131.59

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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.