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Finding the Fourth Proportional to 38.07, 52.56 and 25.14

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Solution

The fourth proportional to 38.07, 52.56 and 25.14 is: 34.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.07 : 52.56 = 25.14 : x
  2. Step 2: Convert to fraction form
    38.07/52.56 = 25.14/x
  3. Step 3: Cross multiply
    38.07x = 52.56 × 25.14
  4. Step 4: Simplify right side
    38.07x = 1,321.36
  5. Step 5: Solve for x
    x = 1,321.36/38.07
  6. Step 6: Final answer
    x = 34.71

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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.