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Finding the Fourth Proportional to 26.89, 37.11 and 24.68

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Solution

The fourth proportional to 26.89, 37.11 and 24.68 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.89 : 37.11 = 24.68 : x
  2. Step 2: Convert to fraction form
    26.89/37.11 = 24.68/x
  3. Step 3: Cross multiply
    26.89x = 37.11 × 24.68
  4. Step 4: Simplify right side
    26.89x = 915.87
  5. Step 5: Solve for x
    x = 915.87/26.89
  6. Step 6: Final answer
    x = 34.06

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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.