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Finding the Fourth Proportional to 25.31, 38.12 and 23.15

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Solution

The fourth proportional to 25.31, 38.12 and 23.15 is: 34.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 38.12 = 23.15 : x
  2. Step 2: Convert to fraction form
    25.31/38.12 = 23.15/x
  3. Step 3: Cross multiply
    25.31x = 38.12 × 23.15
  4. Step 4: Simplify right side
    25.31x = 882.48
  5. Step 5: Solve for x
    x = 882.48/25.31
  6. Step 6: Final answer
    x = 34.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.