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Finding the Fourth Proportional to 74.47, 111.73 and 28.81

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Solution

The fourth proportional to 74.47, 111.73 and 28.81 is: 43.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.47 : 111.73 = 28.81 : x
  2. Step 2: Convert to fraction form
    74.47/111.73 = 28.81/x
  3. Step 3: Cross multiply
    74.47x = 111.73 × 28.81
  4. Step 4: Simplify right side
    74.47x = 3,218.43
  5. Step 5: Solve for x
    x = 3,218.43/74.47
  6. Step 6: Final answer
    x = 43.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.