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Finding the Fourth Proportional to 92.36, 126.86 and 77.78

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Solution

The fourth proportional to 92.36, 126.86 and 77.78 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.36 : 126.86 = 77.78 : x
  2. Step 2: Convert to fraction form
    92.36/126.86 = 77.78/x
  3. Step 3: Cross multiply
    92.36x = 126.86 × 77.78
  4. Step 4: Simplify right side
    92.36x = 9,867.17
  5. Step 5: Solve for x
    x = 9,867.17/92.36
  6. Step 6: Final answer
    x = 106.83

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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.