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Finding the Fourth Proportional to 146.03, 201.65 and 96.89

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Solution

The fourth proportional to 146.03, 201.65 and 96.89 is: 133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 201.65 = 96.89 : x
  2. Step 2: Convert to fraction form
    146.03/201.65 = 96.89/x
  3. Step 3: Cross multiply
    146.03x = 201.65 × 96.89
  4. Step 4: Simplify right side
    146.03x = 19,537.87
  5. Step 5: Solve for x
    x = 19,537.87/146.03
  6. Step 6: Final answer
    x = 133.79

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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.