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Finding the Fourth Proportional to 146.09, 218.68 and 124.22

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Solution

The fourth proportional to 146.09, 218.68 and 124.22 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 218.68 = 124.22 : x
  2. Step 2: Convert to fraction form
    146.09/218.68 = 124.22/x
  3. Step 3: Cross multiply
    146.09x = 218.68 × 124.22
  4. Step 4: Simplify right side
    146.09x = 27,165.36
  5. Step 5: Solve for x
    x = 27,165.36/146.09
  6. Step 6: Final answer
    x = 185.95

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