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Finding the Fourth Proportional to 157.47, 217.30 and 91.97

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Solution

The fourth proportional to 157.47, 217.30 and 91.97 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.47 : 217.30 = 91.97 : x
  2. Step 2: Convert to fraction form
    157.47/217.30 = 91.97/x
  3. Step 3: Cross multiply
    157.47x = 217.30 × 91.97
  4. Step 4: Simplify right side
    157.47x = 19,984.75
  5. Step 5: Solve for x
    x = 19,984.75/157.47
  6. Step 6: Final answer
    x = 126.91

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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.