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Finding the Fourth Proportional to 27.83, 41.85 and 22.20

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Solution

The fourth proportional to 27.83, 41.85 and 22.20 is: 33.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.83 : 41.85 = 22.20 : x
  2. Step 2: Convert to fraction form
    27.83/41.85 = 22.20/x
  3. Step 3: Cross multiply
    27.83x = 41.85 × 22.20
  4. Step 4: Simplify right side
    27.83x = 928.91
  5. Step 5: Solve for x
    x = 928.91/27.83
  6. Step 6: Final answer
    x = 33.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.