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Finding the Fourth Proportional to 92.14, 126.47 and 81.55

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Solution

The fourth proportional to 92.14, 126.47 and 81.55 is: 111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.14 : 126.47 = 81.55 : x
  2. Step 2: Convert to fraction form
    92.14/126.47 = 81.55/x
  3. Step 3: Cross multiply
    92.14x = 126.47 × 81.55
  4. Step 4: Simplify right side
    92.14x = 10,313.10
  5. Step 5: Solve for x
    x = 10,313.10/92.14
  6. Step 6: Final answer
    x = 111.93

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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.