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Finding the Fourth Proportional to 146.00, 201.36 and 96.29

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Solution

The fourth proportional to 146.00, 201.36 and 96.29 is: 132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.00 : 201.36 = 96.29 : x
  2. Step 2: Convert to fraction form
    146.00/201.36 = 96.29/x
  3. Step 3: Cross multiply
    146.00x = 201.36 × 96.29
  4. Step 4: Simplify right side
    146.00x = 19,387.95
  5. Step 5: Solve for x
    x = 19,387.95/146.00
  6. Step 6: Final answer
    x = 132.80

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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.