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Finding the Fourth Proportional to 146.13, 201.42 and 102.39

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Solution

The fourth proportional to 146.13, 201.42 and 102.39 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 201.42 = 102.39 : x
  2. Step 2: Convert to fraction form
    146.13/201.42 = 102.39/x
  3. Step 3: Cross multiply
    146.13x = 201.42 × 102.39
  4. Step 4: Simplify right side
    146.13x = 20,623.39
  5. Step 5: Solve for x
    x = 20,623.39/146.13
  6. Step 6: Final answer
    x = 141.13

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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.