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Finding the Fourth Proportional to 146.00, 201.59 and 97.00

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Solution

The fourth proportional to 146.00, 201.59 and 97.00 is: 133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.00 : 201.59 = 97.00 : x
  2. Step 2: Convert to fraction form
    146.00/201.59 = 97.00/x
  3. Step 3: Cross multiply
    146.00x = 201.59 × 97.00
  4. Step 4: Simplify right side
    146.00x = 19,553.60
  5. Step 5: Solve for x
    x = 19,553.60/146.00
  6. Step 6: Final answer
    x = 133.93

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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.