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Finding the Fourth Proportional to 26.00, 35.82 and 17.78

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Solution

The fourth proportional to 26.00, 35.82 and 17.78 is: 24.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.00 : 35.82 = 17.78 : x
  2. Step 2: Convert to fraction form
    26.00/35.82 = 17.78/x
  3. Step 3: Cross multiply
    26.00x = 35.82 × 17.78
  4. Step 4: Simplify right side
    26.00x = 636.97
  5. Step 5: Solve for x
    x = 636.97/26.00
  6. Step 6: Final answer
    x = 24.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.