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Finding the Fourth Proportional to 146.05, 201.54 and 80.55

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Solution

The fourth proportional to 146.05, 201.54 and 80.55 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 201.54 = 80.55 : x
  2. Step 2: Convert to fraction form
    146.05/201.54 = 80.55/x
  3. Step 3: Cross multiply
    146.05x = 201.54 × 80.55
  4. Step 4: Simplify right side
    146.05x = 16,234.35
  5. Step 5: Solve for x
    x = 16,234.35/146.05
  6. Step 6: Final answer
    x = 111.16

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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.