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Finding the Fourth Proportional to 105.90, 146.17 and 84.09

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Solution

The fourth proportional to 105.90, 146.17 and 84.09 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 146.17 = 84.09 : x
  2. Step 2: Convert to fraction form
    105.90/146.17 = 84.09/x
  3. Step 3: Cross multiply
    105.90x = 146.17 × 84.09
  4. Step 4: Simplify right side
    105.90x = 12,291.44
  5. Step 5: Solve for x
    x = 12,291.44/105.90
  6. Step 6: Final answer
    x = 116.07

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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.