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Finding the Fourth Proportional to 42.78, 59.02 and 25.30

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Solution

The fourth proportional to 42.78, 59.02 and 25.30 is: 34.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.78 : 59.02 = 25.30 : x
  2. Step 2: Convert to fraction form
    42.78/59.02 = 25.30/x
  3. Step 3: Cross multiply
    42.78x = 59.02 × 25.30
  4. Step 4: Simplify right side
    42.78x = 1,493.21
  5. Step 5: Solve for x
    x = 1,493.21/42.78
  6. Step 6: Final answer
    x = 34.90

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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.