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Finding the Fourth Proportional to 31.94, 48.16 and 27.22

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Solution

The fourth proportional to 31.94, 48.16 and 27.22 is: 41.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.94 : 48.16 = 27.22 : x
  2. Step 2: Convert to fraction form
    31.94/48.16 = 27.22/x
  3. Step 3: Cross multiply
    31.94x = 48.16 × 27.22
  4. Step 4: Simplify right side
    31.94x = 1,310.92
  5. Step 5: Solve for x
    x = 1,310.92/31.94
  6. Step 6: Final answer
    x = 41.04

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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.