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Finding the Fourth Proportional to 49.85, 74.78 and 19.40

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Solution

The fourth proportional to 49.85, 74.78 and 19.40 is: 29.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.85 : 74.78 = 19.40 : x
  2. Step 2: Convert to fraction form
    49.85/74.78 = 19.40/x
  3. Step 3: Cross multiply
    49.85x = 74.78 × 19.40
  4. Step 4: Simplify right side
    49.85x = 1,450.33
  5. Step 5: Solve for x
    x = 1,450.33/49.85
  6. Step 6: Final answer
    x = 29.09

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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.