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Finding the Fourth Proportional to 26.80, 36.70 and 26.64

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Solution

The fourth proportional to 26.80, 36.70 and 26.64 is: 36.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.80 : 36.70 = 26.64 : x
  2. Step 2: Convert to fraction form
    26.80/36.70 = 26.64/x
  3. Step 3: Cross multiply
    26.80x = 36.70 × 26.64
  4. Step 4: Simplify right side
    26.80x = 977.62
  5. Step 5: Solve for x
    x = 977.62/26.80
  6. Step 6: Final answer
    x = 36.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.