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Finding the Fourth Proportional to 26.12, 36.04 and 26.02

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Solution

The fourth proportional to 26.12, 36.04 and 26.02 is: 35.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.12 : 36.04 = 26.02 : x
  2. Step 2: Convert to fraction form
    26.12/36.04 = 26.02/x
  3. Step 3: Cross multiply
    26.12x = 36.04 × 26.02
  4. Step 4: Simplify right side
    26.12x = 937.76
  5. Step 5: Solve for x
    x = 937.76/26.12
  6. Step 6: Final answer
    x = 35.90

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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.