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Finding the Fourth Proportional to 52.03, 71.77 and 38.25

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Solution

The fourth proportional to 52.03, 71.77 and 38.25 is: 52.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 71.77 = 38.25 : x
  2. Step 2: Convert to fraction form
    52.03/71.77 = 38.25/x
  3. Step 3: Cross multiply
    52.03x = 71.77 × 38.25
  4. Step 4: Simplify right side
    52.03x = 2,745.20
  5. Step 5: Solve for x
    x = 2,745.20/52.03
  6. Step 6: Final answer
    x = 52.76

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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.