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Finding the Fourth Proportional to 146.89, 202.63 and 106.97

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Solution

The fourth proportional to 146.89, 202.63 and 106.97 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.89 : 202.63 = 106.97 : x
  2. Step 2: Convert to fraction form
    146.89/202.63 = 106.97/x
  3. Step 3: Cross multiply
    146.89x = 202.63 × 106.97
  4. Step 4: Simplify right side
    146.89x = 21,674.05
  5. Step 5: Solve for x
    x = 21,674.05/146.89
  6. Step 6: Final answer
    x = 147.56

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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.