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Finding the Fourth Proportional to 146.05, 201.63 and 97.02

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Solution

The fourth proportional to 146.05, 201.63 and 97.02 is: 133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 201.63 = 97.02 : x
  2. Step 2: Convert to fraction form
    146.05/201.63 = 97.02/x
  3. Step 3: Cross multiply
    146.05x = 201.63 × 97.02
  4. Step 4: Simplify right side
    146.05x = 19,562.14
  5. Step 5: Solve for x
    x = 19,562.14/146.05
  6. Step 6: Final answer
    x = 133.94

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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.