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Finding the Fourth Proportional to 157.48, 217.33 and 91.97

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Solution

The fourth proportional to 157.48, 217.33 and 91.97 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.48 : 217.33 = 91.97 : x
  2. Step 2: Convert to fraction form
    157.48/217.33 = 91.97/x
  3. Step 3: Cross multiply
    157.48x = 217.33 × 91.97
  4. Step 4: Simplify right side
    157.48x = 19,987.86
  5. Step 5: Solve for x
    x = 19,987.86/157.48
  6. Step 6: Final answer
    x = 126.93

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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.