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Finding the Fourth Proportional to 27.80, 38.37 and 16.15

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Solution

The fourth proportional to 27.80, 38.37 and 16.15 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.80 : 38.37 = 16.15 : x
  2. Step 2: Convert to fraction form
    27.80/38.37 = 16.15/x
  3. Step 3: Cross multiply
    27.80x = 38.37 × 16.15
  4. Step 4: Simplify right side
    27.80x = 619.57
  5. Step 5: Solve for x
    x = 619.57/27.80
  6. Step 6: Final answer
    x = 22.28

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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.