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Finding the Fourth Proportional to 27.72, 38.25 and 16.80

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Solution

The fourth proportional to 27.72, 38.25 and 16.80 is: 23.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 38.25 = 16.80 : x
  2. Step 2: Convert to fraction form
    27.72/38.25 = 16.80/x
  3. Step 3: Cross multiply
    27.72x = 38.25 × 16.80
  4. Step 4: Simplify right side
    27.72x = 642.60
  5. Step 5: Solve for x
    x = 642.60/27.72
  6. Step 6: Final answer
    x = 23.18

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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.