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Finding the Fourth Proportional to 26.08, 39.12 and 22.76

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Solution

The fourth proportional to 26.08, 39.12 and 22.76 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.08 : 39.12 = 22.76 : x
  2. Step 2: Convert to fraction form
    26.08/39.12 = 22.76/x
  3. Step 3: Cross multiply
    26.08x = 39.12 × 22.76
  4. Step 4: Simplify right side
    26.08x = 890.37
  5. Step 5: Solve for x
    x = 890.37/26.08
  6. Step 6: Final answer
    x = 34.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.