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Finding the Fourth Proportional to 126.56, 188.86 and 112.94

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Solution

The fourth proportional to 126.56, 188.86 and 112.94 is: 168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.56 : 188.86 = 112.94 : x
  2. Step 2: Convert to fraction form
    126.56/188.86 = 112.94/x
  3. Step 3: Cross multiply
    126.56x = 188.86 × 112.94
  4. Step 4: Simplify right side
    126.56x = 21,329.28
  5. Step 5: Solve for x
    x = 21,329.28/126.56
  6. Step 6: Final answer
    x = 168.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.