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Finding the Fourth Proportional to 27.79, 41.64 and 16.38

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Solution

The fourth proportional to 27.79, 41.64 and 16.38 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.79 : 41.64 = 16.38 : x
  2. Step 2: Convert to fraction form
    27.79/41.64 = 16.38/x
  3. Step 3: Cross multiply
    27.79x = 41.64 × 16.38
  4. Step 4: Simplify right side
    27.79x = 682.06
  5. Step 5: Solve for x
    x = 682.06/27.79
  6. Step 6: Final answer
    x = 24.54

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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.