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Finding the Fourth Proportional to 74.96, 112.21 and 49.23

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Solution

The fourth proportional to 74.96, 112.21 and 49.23 is: 73.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 112.21 = 49.23 : x
  2. Step 2: Convert to fraction form
    74.96/112.21 = 49.23/x
  3. Step 3: Cross multiply
    74.96x = 112.21 × 49.23
  4. Step 4: Simplify right side
    74.96x = 5,523.98
  5. Step 5: Solve for x
    x = 5,523.98/74.96
  6. Step 6: Final answer
    x = 73.69

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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.