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Finding the Fourth Proportional to 146.00, 219.04 and 48.49

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Solution

The fourth proportional to 146.00, 219.04 and 48.49 is: 72.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.00 : 219.04 = 48.49 : x
  2. Step 2: Convert to fraction form
    146.00/219.04 = 48.49/x
  3. Step 3: Cross multiply
    146.00x = 219.04 × 48.49
  4. Step 4: Simplify right side
    146.00x = 10,620.58
  5. Step 5: Solve for x
    x = 10,620.58/146.00
  6. Step 6: Final answer
    x = 72.74

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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.