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Finding the Fourth Proportional to 26.94, 37.24 and 23.86

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Solution

The fourth proportional to 26.94, 37.24 and 23.86 is: 32.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.94 : 37.24 = 23.86 : x
  2. Step 2: Convert to fraction form
    26.94/37.24 = 23.86/x
  3. Step 3: Cross multiply
    26.94x = 37.24 × 23.86
  4. Step 4: Simplify right side
    26.94x = 888.55
  5. Step 5: Solve for x
    x = 888.55/26.94
  6. Step 6: Final answer
    x = 32.98

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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.