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Finding the Fourth Proportional to 27.98, 42.06 and 24.20

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Solution

The fourth proportional to 27.98, 42.06 and 24.20 is: 36.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 42.06 = 24.20 : x
  2. Step 2: Convert to fraction form
    27.98/42.06 = 24.20/x
  3. Step 3: Cross multiply
    27.98x = 42.06 × 24.20
  4. Step 4: Simplify right side
    27.98x = 1,017.85
  5. Step 5: Solve for x
    x = 1,017.85/27.98
  6. Step 6: Final answer
    x = 36.38

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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.