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Finding the Fourth Proportional to 146.62, 202.31 and 107.90

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Solution

The fourth proportional to 146.62, 202.31 and 107.90 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.62 : 202.31 = 107.90 : x
  2. Step 2: Convert to fraction form
    146.62/202.31 = 107.90/x
  3. Step 3: Cross multiply
    146.62x = 202.31 × 107.90
  4. Step 4: Simplify right side
    146.62x = 21,829.25
  5. Step 5: Solve for x
    x = 21,829.25/146.62
  6. Step 6: Final answer
    x = 148.88

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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.