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Finding the Fourth Proportional to 74.08, 111.04 and 27.78

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Solution

The fourth proportional to 74.08, 111.04 and 27.78 is: 41.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 111.04 = 27.78 : x
  2. Step 2: Convert to fraction form
    74.08/111.04 = 27.78/x
  3. Step 3: Cross multiply
    74.08x = 111.04 × 27.78
  4. Step 4: Simplify right side
    74.08x = 3,084.21
  5. Step 5: Solve for x
    x = 3,084.21/74.08
  6. Step 6: Final answer
    x = 41.63

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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.