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Finding the Fourth Proportional to 146.29, 201.89 and 102.02

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Solution

The fourth proportional to 146.29, 201.89 and 102.02 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.29 : 201.89 = 102.02 : x
  2. Step 2: Convert to fraction form
    146.29/201.89 = 102.02/x
  3. Step 3: Cross multiply
    146.29x = 201.89 × 102.02
  4. Step 4: Simplify right side
    146.29x = 20,596.82
  5. Step 5: Solve for x
    x = 20,596.82/146.29
  6. Step 6: Final answer
    x = 140.79

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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.