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Finding the Fourth Proportional to 52.20, 78.28 and 43.60

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Solution

The fourth proportional to 52.20, 78.28 and 43.60 is: 65.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.20 : 78.28 = 43.60 : x
  2. Step 2: Convert to fraction form
    52.20/78.28 = 43.60/x
  3. Step 3: Cross multiply
    52.20x = 78.28 × 43.60
  4. Step 4: Simplify right side
    52.20x = 3,413.01
  5. Step 5: Solve for x
    x = 3,413.01/52.20
  6. Step 6: Final answer
    x = 65.38

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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.