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Finding the Fourth Proportional to 92.82, 127.18 and 91.68

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Solution

The fourth proportional to 92.82, 127.18 and 91.68 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 127.18 = 91.68 : x
  2. Step 2: Convert to fraction form
    92.82/127.18 = 91.68/x
  3. Step 3: Cross multiply
    92.82x = 127.18 × 91.68
  4. Step 4: Simplify right side
    92.82x = 11,659.86
  5. Step 5: Solve for x
    x = 11,659.86/92.82
  6. Step 6: Final answer
    x = 125.62

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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.