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Finding the Fourth Proportional to 92.58, 127.79 and 83.84

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Solution

The fourth proportional to 92.58, 127.79 and 83.84 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.58 : 127.79 = 83.84 : x
  2. Step 2: Convert to fraction form
    92.58/127.79 = 83.84/x
  3. Step 3: Cross multiply
    92.58x = 127.79 × 83.84
  4. Step 4: Simplify right side
    92.58x = 10,712.86
  5. Step 5: Solve for x
    x = 10,712.86/92.58
  6. Step 6: Final answer
    x = 115.71

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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.