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Finding the Fourth Proportional to 38.75, 58.13 and 13.07

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Solution

The fourth proportional to 38.75, 58.13 and 13.07 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.75 : 58.13 = 13.07 : x
  2. Step 2: Convert to fraction form
    38.75/58.13 = 13.07/x
  3. Step 3: Cross multiply
    38.75x = 58.13 × 13.07
  4. Step 4: Simplify right side
    38.75x = 759.68
  5. Step 5: Solve for x
    x = 759.68/38.75
  6. Step 6: Final answer
    x = 19.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.