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Finding the Fourth Proportional to 42.78, 64.23 and 25.73

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Solution

The fourth proportional to 42.78, 64.23 and 25.73 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.78 : 64.23 = 25.73 : x
  2. Step 2: Convert to fraction form
    42.78/64.23 = 25.73/x
  3. Step 3: Cross multiply
    42.78x = 64.23 × 25.73
  4. Step 4: Simplify right side
    42.78x = 1,652.62
  5. Step 5: Solve for x
    x = 1,652.62/42.78
  6. Step 6: Final answer
    x = 38.64

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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.