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Finding the Fourth Proportional to 148.88, 205.44 and 82.49

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Solution

The fourth proportional to 148.88, 205.44 and 82.49 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 205.44 = 82.49 : x
  2. Step 2: Convert to fraction form
    148.88/205.44 = 82.49/x
  3. Step 3: Cross multiply
    148.88x = 205.44 × 82.49
  4. Step 4: Simplify right side
    148.88x = 16,945.41
  5. Step 5: Solve for x
    x = 16,945.41/148.88
  6. Step 6: Final answer
    x = 113.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.