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Finding the Fourth Proportional to 105.94, 146.16 and 84.06

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Solution

The fourth proportional to 105.94, 146.16 and 84.06 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.16 = 84.06 : x
  2. Step 2: Convert to fraction form
    105.94/146.16 = 84.06/x
  3. Step 3: Cross multiply
    105.94x = 146.16 × 84.06
  4. Step 4: Simplify right side
    105.94x = 12,286.21
  5. Step 5: Solve for x
    x = 12,286.21/105.94
  6. Step 6: Final answer
    x = 115.97

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Why These Related Problems?

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