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Finding the Fourth Proportional to 49.79, 74.60 and 19.34

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Solution

The fourth proportional to 49.79, 74.60 and 19.34 is: 28.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.79 : 74.60 = 19.34 : x
  2. Step 2: Convert to fraction form
    49.79/74.60 = 19.34/x
  3. Step 3: Cross multiply
    49.79x = 74.60 × 19.34
  4. Step 4: Simplify right side
    49.79x = 1,442.44
  5. Step 5: Solve for x
    x = 1,442.44/49.79
  6. Step 6: Final answer
    x = 28.97

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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.