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Finding the Fourth Proportional to 38.14, 57.15 and 31.06

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Solution

The fourth proportional to 38.14, 57.15 and 31.06 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 57.15 = 31.06 : x
  2. Step 2: Convert to fraction form
    38.14/57.15 = 31.06/x
  3. Step 3: Cross multiply
    38.14x = 57.15 × 31.06
  4. Step 4: Simplify right side
    38.14x = 1,775.08
  5. Step 5: Solve for x
    x = 1,775.08/38.14
  6. Step 6: Final answer
    x = 46.54

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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.