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Finding the Fourth Proportional to 146.11, 219.27 and 97.42

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Solution

The fourth proportional to 146.11, 219.27 and 97.42 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 219.27 = 97.42 : x
  2. Step 2: Convert to fraction form
    146.11/219.27 = 97.42/x
  3. Step 3: Cross multiply
    146.11x = 219.27 × 97.42
  4. Step 4: Simplify right side
    146.11x = 21,361.28
  5. Step 5: Solve for x
    x = 21,361.28/146.11
  6. Step 6: Final answer
    x = 146.20

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Why These Related Problems?

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