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Finding the Fourth Proportional to 146.01, 201.74 and 137.91

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Solution

The fourth proportional to 146.01, 201.74 and 137.91 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.01 : 201.74 = 137.91 : x
  2. Step 2: Convert to fraction form
    146.01/201.74 = 137.91/x
  3. Step 3: Cross multiply
    146.01x = 201.74 × 137.91
  4. Step 4: Simplify right side
    146.01x = 27,821.27
  5. Step 5: Solve for x
    x = 27,821.27/146.01
  6. Step 6: Final answer
    x = 190.54

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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.