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Finding the Fourth Proportional to 52.23, 71.94 and 44.44

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Solution

The fourth proportional to 52.23, 71.94 and 44.44 is: 61.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 71.94 = 44.44 : x
  2. Step 2: Convert to fraction form
    52.23/71.94 = 44.44/x
  3. Step 3: Cross multiply
    52.23x = 71.94 × 44.44
  4. Step 4: Simplify right side
    52.23x = 3,197.01
  5. Step 5: Solve for x
    x = 3,197.01/52.23
  6. Step 6: Final answer
    x = 61.21

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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.