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Finding the Fourth Proportional to 92.82, 127.86 and 79.02

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Solution

The fourth proportional to 92.82, 127.86 and 79.02 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 127.86 = 79.02 : x
  2. Step 2: Convert to fraction form
    92.82/127.86 = 79.02/x
  3. Step 3: Cross multiply
    92.82x = 127.86 × 79.02
  4. Step 4: Simplify right side
    92.82x = 10,103.50
  5. Step 5: Solve for x
    x = 10,103.50/92.82
  6. Step 6: Final answer
    x = 108.85

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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.