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Finding the Fourth Proportional to 74.89, 111.86 and 69.73

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Solution

The fourth proportional to 74.89, 111.86 and 69.73 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.89 : 111.86 = 69.73 : x
  2. Step 2: Convert to fraction form
    74.89/111.86 = 69.73/x
  3. Step 3: Cross multiply
    74.89x = 111.86 × 69.73
  4. Step 4: Simplify right side
    74.89x = 7,800.02
  5. Step 5: Solve for x
    x = 7,800.02/74.89
  6. Step 6: Final answer
    x = 104.15

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