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Finding the Fourth Proportional to 74.37, 111.57 and 28.71

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Solution

The fourth proportional to 74.37, 111.57 and 28.71 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.37 : 111.57 = 28.71 : x
  2. Step 2: Convert to fraction form
    74.37/111.57 = 28.71/x
  3. Step 3: Cross multiply
    74.37x = 111.57 × 28.71
  4. Step 4: Simplify right side
    74.37x = 3,203.17
  5. Step 5: Solve for x
    x = 3,203.17/74.37
  6. Step 6: Final answer
    x = 43.07

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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.