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Finding the Fourth Proportional to 31.09, 46.37 and 27.85

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Solution

The fourth proportional to 31.09, 46.37 and 27.85 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 46.37 = 27.85 : x
  2. Step 2: Convert to fraction form
    31.09/46.37 = 27.85/x
  3. Step 3: Cross multiply
    31.09x = 46.37 × 27.85
  4. Step 4: Simplify right side
    31.09x = 1,291.29
  5. Step 5: Solve for x
    x = 1,291.29/31.09
  6. Step 6: Final answer
    x = 41.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.