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Finding the Fourth Proportional to 26.80, 37 and 21.40

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Solution

The fourth proportional to 26.80, 37 and 21.40 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.80 : 37 = 21.40 : x
  2. Step 2: Convert to fraction form
    26.80/37 = 21.40/x
  3. Step 3: Cross multiply
    26.80x = 37 × 21.40
  4. Step 4: Simplify right side
    26.80x = 791.80
  5. Step 5: Solve for x
    x = 791.80/26.80
  6. Step 6: Final answer
    x = 29.54

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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.