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Finding the Fourth Proportional to 33.90, 51.11 and 31.94

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Solution

The fourth proportional to 33.90, 51.11 and 31.94 is: 48.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.90 : 51.11 = 31.94 : x
  2. Step 2: Convert to fraction form
    33.90/51.11 = 31.94/x
  3. Step 3: Cross multiply
    33.90x = 51.11 × 31.94
  4. Step 4: Simplify right side
    33.90x = 1,632.04
  5. Step 5: Solve for x
    x = 1,632.04/33.90
  6. Step 6: Final answer
    x = 48.14

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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.