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Finding the Fourth Proportional to 92.10, 126.82 and 78.96

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Solution

The fourth proportional to 92.10, 126.82 and 78.96 is: 108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.10 : 126.82 = 78.96 : x
  2. Step 2: Convert to fraction form
    92.10/126.82 = 78.96/x
  3. Step 3: Cross multiply
    92.10x = 126.82 × 78.96
  4. Step 4: Simplify right side
    92.10x = 10,013.71
  5. Step 5: Solve for x
    x = 10,013.71/92.10
  6. Step 6: Final answer
    x = 108.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.