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Finding the Fourth Proportional to 49.06, 67.67 and 31.57

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Solution

The fourth proportional to 49.06, 67.67 and 31.57 is: 43.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.06 : 67.67 = 31.57 : x
  2. Step 2: Convert to fraction form
    49.06/67.67 = 31.57/x
  3. Step 3: Cross multiply
    49.06x = 67.67 × 31.57
  4. Step 4: Simplify right side
    49.06x = 2,136.08
  5. Step 5: Solve for x
    x = 2,136.08/49.06
  6. Step 6: Final answer
    x = 43.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.