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Finding the Fourth Proportional to 27.79, 41.68 and 9.75

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Solution

The fourth proportional to 27.79, 41.68 and 9.75 is: 14.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.79 : 41.68 = 9.75 : x
  2. Step 2: Convert to fraction form
    27.79/41.68 = 9.75/x
  3. Step 3: Cross multiply
    27.79x = 41.68 × 9.75
  4. Step 4: Simplify right side
    27.79x = 406.33
  5. Step 5: Solve for x
    x = 406.33/27.79
  6. Step 6: Final answer
    x = 14.62

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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.