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Finding the Fourth Proportional to 26.00, 35.86 and 18.71

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Solution

The fourth proportional to 26.00, 35.86 and 18.71 is: 25.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.00 : 35.86 = 18.71 : x
  2. Step 2: Convert to fraction form
    26.00/35.86 = 18.71/x
  3. Step 3: Cross multiply
    26.00x = 35.86 × 18.71
  4. Step 4: Simplify right side
    26.00x = 670.71
  5. Step 5: Solve for x
    x = 670.71/26.00
  6. Step 6: Final answer
    x = 25.80

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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.