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Finding the Fourth Proportional to 72.41, 108.46 and 49.49

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Solution

The fourth proportional to 72.41, 108.46 and 49.49 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.41 : 108.46 = 49.49 : x
  2. Step 2: Convert to fraction form
    72.41/108.46 = 49.49/x
  3. Step 3: Cross multiply
    72.41x = 108.46 × 49.49
  4. Step 4: Simplify right side
    72.41x = 5,367.02
  5. Step 5: Solve for x
    x = 5,367.02/72.41
  6. Step 6: Final answer
    x = 74.12

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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.