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Finding the Fourth Proportional to 74.75, 111.49 and 70.09

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Solution

The fourth proportional to 74.75, 111.49 and 70.09 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 111.49 = 70.09 : x
  2. Step 2: Convert to fraction form
    74.75/111.49 = 70.09/x
  3. Step 3: Cross multiply
    74.75x = 111.49 × 70.09
  4. Step 4: Simplify right side
    74.75x = 7,813.88
  5. Step 5: Solve for x
    x = 7,813.88/74.75
  6. Step 6: Final answer
    x = 104.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.