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Finding the Fourth Proportional to 52.14, 72.03 and 44.44

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Solution

The fourth proportional to 52.14, 72.03 and 44.44 is: 61.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 72.03 = 44.44 : x
  2. Step 2: Convert to fraction form
    52.14/72.03 = 44.44/x
  3. Step 3: Cross multiply
    52.14x = 72.03 × 44.44
  4. Step 4: Simplify right side
    52.14x = 3,201.01
  5. Step 5: Solve for x
    x = 3,201.01/52.14
  6. Step 6: Final answer
    x = 61.39

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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.