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Finding the Fourth Proportional to 49.13, 73.64 and 20.22

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Solution

The fourth proportional to 49.13, 73.64 and 20.22 is: 30.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 73.64 = 20.22 : x
  2. Step 2: Convert to fraction form
    49.13/73.64 = 20.22/x
  3. Step 3: Cross multiply
    49.13x = 73.64 × 20.22
  4. Step 4: Simplify right side
    49.13x = 1,488.89
  5. Step 5: Solve for x
    x = 1,488.89/49.13
  6. Step 6: Final answer
    x = 30.30

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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.