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Finding the Fourth Proportional to 26.00, 35.87 and 18.74

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Solution

The fourth proportional to 26.00, 35.87 and 18.74 is: 25.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.00 : 35.87 = 18.74 : x
  2. Step 2: Convert to fraction form
    26.00/35.87 = 18.74/x
  3. Step 3: Cross multiply
    26.00x = 35.87 × 18.74
  4. Step 4: Simplify right side
    26.00x = 671.93
  5. Step 5: Solve for x
    x = 671.93/26.00
  6. Step 6: Final answer
    x = 25.85

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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.