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Finding the Fourth Proportional to 106.08, 146.26 and 84.22

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Solution

The fourth proportional to 106.08, 146.26 and 84.22 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.26 = 84.22 : x
  2. Step 2: Convert to fraction form
    106.08/146.26 = 84.22/x
  3. Step 3: Cross multiply
    106.08x = 146.26 × 84.22
  4. Step 4: Simplify right side
    106.08x = 12,318.02
  5. Step 5: Solve for x
    x = 12,318.02/106.08
  6. Step 6: Final answer
    x = 116.12

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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.