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Finding the Fourth Proportional to 26.08, 35.88 and 22.84

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Solution

The fourth proportional to 26.08, 35.88 and 22.84 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.08 : 35.88 = 22.84 : x
  2. Step 2: Convert to fraction form
    26.08/35.88 = 22.84/x
  3. Step 3: Cross multiply
    26.08x = 35.88 × 22.84
  4. Step 4: Simplify right side
    26.08x = 819.50
  5. Step 5: Solve for x
    x = 819.50/26.08
  6. Step 6: Final answer
    x = 31.42

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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.