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Finding the Fourth Proportional to 92.88, 127.68 and 79.92

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Solution

The fourth proportional to 92.88, 127.68 and 79.92 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.88 : 127.68 = 79.92 : x
  2. Step 2: Convert to fraction form
    92.88/127.68 = 79.92/x
  3. Step 3: Cross multiply
    92.88x = 127.68 × 79.92
  4. Step 4: Simplify right side
    92.88x = 10,204.19
  5. Step 5: Solve for x
    x = 10,204.19/92.88
  6. Step 6: Final answer
    x = 109.86

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