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Finding the Fourth Proportional to 26.76, 40.12 and 11.54

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Solution

The fourth proportional to 26.76, 40.12 and 11.54 is: 17.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.76 : 40.12 = 11.54 : x
  2. Step 2: Convert to fraction form
    26.76/40.12 = 11.54/x
  3. Step 3: Cross multiply
    26.76x = 40.12 × 11.54
  4. Step 4: Simplify right side
    26.76x = 463.09
  5. Step 5: Solve for x
    x = 463.09/26.76
  6. Step 6: Final answer
    x = 17.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.