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Finding the Fourth Proportional to 49.47, 74.22 and 22.42

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Solution

The fourth proportional to 49.47, 74.22 and 22.42 is: 33.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.47 : 74.22 = 22.42 : x
  2. Step 2: Convert to fraction form
    49.47/74.22 = 22.42/x
  3. Step 3: Cross multiply
    49.47x = 74.22 × 22.42
  4. Step 4: Simplify right side
    49.47x = 1,664.01
  5. Step 5: Solve for x
    x = 1,664.01/49.47
  6. Step 6: Final answer
    x = 33.64

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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.