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Finding the Fourth Proportional to 27.78, 41.74 and 23.24

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Solution

The fourth proportional to 27.78, 41.74 and 23.24 is: 34.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.78 : 41.74 = 23.24 : x
  2. Step 2: Convert to fraction form
    27.78/41.74 = 23.24/x
  3. Step 3: Cross multiply
    27.78x = 41.74 × 23.24
  4. Step 4: Simplify right side
    27.78x = 970.04
  5. Step 5: Solve for x
    x = 970.04/27.78
  6. Step 6: Final answer
    x = 34.92

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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.