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Finding the Fourth Proportional to 49.77, 74.64 and 31.83

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Solution

The fourth proportional to 49.77, 74.64 and 31.83 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.77 : 74.64 = 31.83 : x
  2. Step 2: Convert to fraction form
    49.77/74.64 = 31.83/x
  3. Step 3: Cross multiply
    49.77x = 74.64 × 31.83
  4. Step 4: Simplify right side
    49.77x = 2,375.79
  5. Step 5: Solve for x
    x = 2,375.79/49.77
  6. Step 6: Final answer
    x = 47.74

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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.