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Finding the Fourth Proportional to 74.57, 111.77 and 36.05

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Solution

The fourth proportional to 74.57, 111.77 and 36.05 is: 54.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.57 : 111.77 = 36.05 : x
  2. Step 2: Convert to fraction form
    74.57/111.77 = 36.05/x
  3. Step 3: Cross multiply
    74.57x = 111.77 × 36.05
  4. Step 4: Simplify right side
    74.57x = 4,028.75
  5. Step 5: Solve for x
    x = 4,028.75/74.57
  6. Step 6: Final answer
    x = 54.03

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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.