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Finding the Fourth Proportional to 26.86, 37.05 and 16.49

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Solution

The fourth proportional to 26.86, 37.05 and 16.49 is: 22.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.86 : 37.05 = 16.49 : x
  2. Step 2: Convert to fraction form
    26.86/37.05 = 16.49/x
  3. Step 3: Cross multiply
    26.86x = 37.05 × 16.49
  4. Step 4: Simplify right side
    26.86x = 610.95
  5. Step 5: Solve for x
    x = 610.95/26.86
  6. Step 6: Final answer
    x = 22.75

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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.