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Finding the Fourth Proportional to 146.21, 201.89 and 97.13

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Solution

The fourth proportional to 146.21, 201.89 and 97.13 is: 134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 201.89 = 97.13 : x
  2. Step 2: Convert to fraction form
    146.21/201.89 = 97.13/x
  3. Step 3: Cross multiply
    146.21x = 201.89 × 97.13
  4. Step 4: Simplify right side
    146.21x = 19,610.32
  5. Step 5: Solve for x
    x = 19,610.32/146.21
  6. Step 6: Final answer
    x = 134.13

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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.