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Finding the Fourth Proportional to 146.43, 202.09 and 84.26

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Solution

The fourth proportional to 146.43, 202.09 and 84.26 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.43 : 202.09 = 84.26 : x
  2. Step 2: Convert to fraction form
    146.43/202.09 = 84.26/x
  3. Step 3: Cross multiply
    146.43x = 202.09 × 84.26
  4. Step 4: Simplify right side
    146.43x = 17,028.10
  5. Step 5: Solve for x
    x = 17,028.10/146.43
  6. Step 6: Final answer
    x = 116.29

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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.