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Finding the Fourth Proportional to 49.41, 74.07 and 29.86

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Solution

The fourth proportional to 49.41, 74.07 and 29.86 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.41 : 74.07 = 29.86 : x
  2. Step 2: Convert to fraction form
    49.41/74.07 = 29.86/x
  3. Step 3: Cross multiply
    49.41x = 74.07 × 29.86
  4. Step 4: Simplify right side
    49.41x = 2,211.55
  5. Step 5: Solve for x
    x = 2,211.55/49.41
  6. Step 6: Final answer
    x = 44.76

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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.