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Finding the Fourth Proportional to 26.42, 36.49 and 22.28

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Solution

The fourth proportional to 26.42, 36.49 and 22.28 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.42 : 36.49 = 22.28 : x
  2. Step 2: Convert to fraction form
    26.42/36.49 = 22.28/x
  3. Step 3: Cross multiply
    26.42x = 36.49 × 22.28
  4. Step 4: Simplify right side
    26.42x = 813.00
  5. Step 5: Solve for x
    x = 813.00/26.42
  6. Step 6: Final answer
    x = 30.77

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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.