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Finding the Fourth Proportional to 26.05, 35.90 and 17.85

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Solution

The fourth proportional to 26.05, 35.90 and 17.85 is: 24.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.05 : 35.90 = 17.85 : x
  2. Step 2: Convert to fraction form
    26.05/35.90 = 17.85/x
  3. Step 3: Cross multiply
    26.05x = 35.90 × 17.85
  4. Step 4: Simplify right side
    26.05x = 640.83
  5. Step 5: Solve for x
    x = 640.83/26.05
  6. Step 6: Final answer
    x = 24.60

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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.