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Finding the Fourth Proportional to 27.84, 41.74 and 23.02

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Solution

The fourth proportional to 27.84, 41.74 and 23.02 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.74 = 23.02 : x
  2. Step 2: Convert to fraction form
    27.84/41.74 = 23.02/x
  3. Step 3: Cross multiply
    27.84x = 41.74 × 23.02
  4. Step 4: Simplify right side
    27.84x = 960.85
  5. Step 5: Solve for x
    x = 960.85/27.84
  6. Step 6: Final answer
    x = 34.51

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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.