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Finding the Fourth Proportional to 146.11, 201.64 and 80.62

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Solution

The fourth proportional to 146.11, 201.64 and 80.62 is: 111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 201.64 = 80.62 : x
  2. Step 2: Convert to fraction form
    146.11/201.64 = 80.62/x
  3. Step 3: Cross multiply
    146.11x = 201.64 × 80.62
  4. Step 4: Simplify right side
    146.11x = 16,255.63
  5. Step 5: Solve for x
    x = 16,255.63/146.11
  6. Step 6: Final answer
    x = 111.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.