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Finding the Fourth Proportional to 146.08, 201.42 and 96.88

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Solution

The fourth proportional to 146.08, 201.42 and 96.88 is: 133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.08 : 201.42 = 96.88 : x
  2. Step 2: Convert to fraction form
    146.08/201.42 = 96.88/x
  3. Step 3: Cross multiply
    146.08x = 201.42 × 96.88
  4. Step 4: Simplify right side
    146.08x = 19,513.57
  5. Step 5: Solve for x
    x = 19,513.57/146.08
  6. Step 6: Final answer
    x = 133.58

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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.