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Finding the Fourth Proportional to 146.57, 201.32 and 137.54

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Solution

The fourth proportional to 146.57, 201.32 and 137.54 is: 188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 201.32 = 137.54 : x
  2. Step 2: Convert to fraction form
    146.57/201.32 = 137.54/x
  3. Step 3: Cross multiply
    146.57x = 201.32 × 137.54
  4. Step 4: Simplify right side
    146.57x = 27,687.86
  5. Step 5: Solve for x
    x = 27,687.86/146.57
  6. Step 6: Final answer
    x = 188.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.