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Finding the Fourth Proportional to 26.05, 35.90 and 19.91

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Solution

The fourth proportional to 26.05, 35.90 and 19.91 is: 27.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.05 : 35.90 = 19.91 : x
  2. Step 2: Convert to fraction form
    26.05/35.90 = 19.91/x
  3. Step 3: Cross multiply
    26.05x = 35.90 × 19.91
  4. Step 4: Simplify right side
    26.05x = 714.77
  5. Step 5: Solve for x
    x = 714.77/26.05
  6. Step 6: Final answer
    x = 27.44

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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.