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Finding the Fourth Proportional to 27.84, 41.76 and 16.99

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Solution

The fourth proportional to 27.84, 41.76 and 16.99 is: 25.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.76 = 16.99 : x
  2. Step 2: Convert to fraction form
    27.84/41.76 = 16.99/x
  3. Step 3: Cross multiply
    27.84x = 41.76 × 16.99
  4. Step 4: Simplify right side
    27.84x = 709.50
  5. Step 5: Solve for x
    x = 709.50/27.84
  6. Step 6: Final answer
    x = 25.49

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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.