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Finding the Fourth Proportional to 146.72, 201.51 and 122.12

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Solution

The fourth proportional to 146.72, 201.51 and 122.12 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 201.51 = 122.12 : x
  2. Step 2: Convert to fraction form
    146.72/201.51 = 122.12/x
  3. Step 3: Cross multiply
    146.72x = 201.51 × 122.12
  4. Step 4: Simplify right side
    146.72x = 24,608.40
  5. Step 5: Solve for x
    x = 24,608.40/146.72
  6. Step 6: Final answer
    x = 167.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.