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Finding the Fourth Proportional to 146.23, 201.81 and 102.06

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Solution

The fourth proportional to 146.23, 201.81 and 102.06 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 201.81 = 102.06 : x
  2. Step 2: Convert to fraction form
    146.23/201.81 = 102.06/x
  3. Step 3: Cross multiply
    146.23x = 201.81 × 102.06
  4. Step 4: Simplify right side
    146.23x = 20,596.73
  5. Step 5: Solve for x
    x = 20,596.73/146.23
  6. Step 6: Final answer
    x = 140.85

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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.