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Finding the Fourth Proportional to 27.42, 37.84 and 16.50

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Solution

The fourth proportional to 27.42, 37.84 and 16.50 is: 22.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 37.84 = 16.50 : x
  2. Step 2: Convert to fraction form
    27.42/37.84 = 16.50/x
  3. Step 3: Cross multiply
    27.42x = 37.84 × 16.50
  4. Step 4: Simplify right side
    27.42x = 624.54
  5. Step 5: Solve for x
    x = 624.54/27.42
  6. Step 6: Final answer
    x = 22.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.