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Finding the Fourth Proportional to 146.87, 220.42 and 74.75

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Solution

The fourth proportional to 146.87, 220.42 and 74.75 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.87 : 220.42 = 74.75 : x
  2. Step 2: Convert to fraction form
    146.87/220.42 = 74.75/x
  3. Step 3: Cross multiply
    146.87x = 220.42 × 74.75
  4. Step 4: Simplify right side
    146.87x = 16,476.40
  5. Step 5: Solve for x
    x = 16,476.40/146.87
  6. Step 6: Final answer
    x = 112.18

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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.