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Finding the Fourth Proportional to 26.94, 37.42 and 26.64

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Solution

The fourth proportional to 26.94, 37.42 and 26.64 is: 37.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.94 : 37.42 = 26.64 : x
  2. Step 2: Convert to fraction form
    26.94/37.42 = 26.64/x
  3. Step 3: Cross multiply
    26.94x = 37.42 × 26.64
  4. Step 4: Simplify right side
    26.94x = 996.87
  5. Step 5: Solve for x
    x = 996.87/26.94
  6. Step 6: Final answer
    x = 37.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.