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Finding the Fourth Proportional to 38.98, 58.42 and 25.44

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Solution

The fourth proportional to 38.98, 58.42 and 25.44 is: 38.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 58.42 = 25.44 : x
  2. Step 2: Convert to fraction form
    38.98/58.42 = 25.44/x
  3. Step 3: Cross multiply
    38.98x = 58.42 × 25.44
  4. Step 4: Simplify right side
    38.98x = 1,486.20
  5. Step 5: Solve for x
    x = 1,486.20/38.98
  6. Step 6: Final answer
    x = 38.13

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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.