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Finding the Fourth Proportional to 146.09, 218.67 and 94.06

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Solution

The fourth proportional to 146.09, 218.67 and 94.06 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 218.67 = 94.06 : x
  2. Step 2: Convert to fraction form
    146.09/218.67 = 94.06/x
  3. Step 3: Cross multiply
    146.09x = 218.67 × 94.06
  4. Step 4: Simplify right side
    146.09x = 20,568.02
  5. Step 5: Solve for x
    x = 20,568.02/146.09
  6. Step 6: Final answer
    x = 140.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.