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Finding the Fourth Proportional to 49.53, 74.31 and 22.49

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Solution

The fourth proportional to 49.53, 74.31 and 22.49 is: 33.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.53 : 74.31 = 22.49 : x
  2. Step 2: Convert to fraction form
    49.53/74.31 = 22.49/x
  3. Step 3: Cross multiply
    49.53x = 74.31 × 22.49
  4. Step 4: Simplify right side
    49.53x = 1,670.86
  5. Step 5: Solve for x
    x = 1,670.86/49.53
  6. Step 6: Final answer
    x = 33.73

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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.