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Finding the Fourth Proportional to 146.31, 219.51 and 69.27

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Solution

The fourth proportional to 146.31, 219.51 and 69.27 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.51 = 69.27 : x
  2. Step 2: Convert to fraction form
    146.31/219.51 = 69.27/x
  3. Step 3: Cross multiply
    146.31x = 219.51 × 69.27
  4. Step 4: Simplify right side
    146.31x = 15,205.46
  5. Step 5: Solve for x
    x = 15,205.46/146.31
  6. Step 6: Final answer
    x = 103.93

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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.