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Finding the Fourth Proportional to 49.69, 74.55 and 28.31

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Solution

The fourth proportional to 49.69, 74.55 and 28.31 is: 42.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 74.55 = 28.31 : x
  2. Step 2: Convert to fraction form
    49.69/74.55 = 28.31/x
  3. Step 3: Cross multiply
    49.69x = 74.55 × 28.31
  4. Step 4: Simplify right side
    49.69x = 2,110.80
  5. Step 5: Solve for x
    x = 2,110.80/49.69
  6. Step 6: Final answer
    x = 42.48

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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.