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Finding the Fourth Proportional to 26.81, 36.96 and 17.60

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Solution

The fourth proportional to 26.81, 36.96 and 17.60 is: 24.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.81 : 36.96 = 17.60 : x
  2. Step 2: Convert to fraction form
    26.81/36.96 = 17.60/x
  3. Step 3: Cross multiply
    26.81x = 36.96 × 17.60
  4. Step 4: Simplify right side
    26.81x = 650.25
  5. Step 5: Solve for x
    x = 650.25/26.81
  6. Step 6: Final answer
    x = 24.25

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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.