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Finding the Fourth Proportional to 146.63, 219.92 and 49.12

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Solution

The fourth proportional to 146.63, 219.92 and 49.12 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 219.92 = 49.12 : x
  2. Step 2: Convert to fraction form
    146.63/219.92 = 49.12/x
  3. Step 3: Cross multiply
    146.63x = 219.92 × 49.12
  4. Step 4: Simplify right side
    146.63x = 10,801.37
  5. Step 5: Solve for x
    x = 10,801.37/146.63
  6. Step 6: Final answer
    x = 73.66

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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.