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Finding the Fourth Proportional to 146.23, 219.37 and 48.73

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Solution

The fourth proportional to 146.23, 219.37 and 48.73 is: 73.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 219.37 = 48.73 : x
  2. Step 2: Convert to fraction form
    146.23/219.37 = 48.73/x
  3. Step 3: Cross multiply
    146.23x = 219.37 × 48.73
  4. Step 4: Simplify right side
    146.23x = 10,689.90
  5. Step 5: Solve for x
    x = 10,689.90/146.23
  6. Step 6: Final answer
    x = 73.10

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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.