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Finding the Fourth Proportional to 27.98, 42.02 and 20.76

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Solution

The fourth proportional to 27.98, 42.02 and 20.76 is: 31.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 42.02 = 20.76 : x
  2. Step 2: Convert to fraction form
    27.98/42.02 = 20.76/x
  3. Step 3: Cross multiply
    27.98x = 42.02 × 20.76
  4. Step 4: Simplify right side
    27.98x = 872.34
  5. Step 5: Solve for x
    x = 872.34/27.98
  6. Step 6: Final answer
    x = 31.18

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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.