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Finding the Fourth Proportional to 92.82, 127.26 and 91.74

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Solution

The fourth proportional to 92.82, 127.26 and 91.74 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 127.26 = 91.74 : x
  2. Step 2: Convert to fraction form
    92.82/127.26 = 91.74/x
  3. Step 3: Cross multiply
    92.82x = 127.26 × 91.74
  4. Step 4: Simplify right side
    92.82x = 11,674.83
  5. Step 5: Solve for x
    x = 11,674.83/92.82
  6. Step 6: Final answer
    x = 125.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.