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Finding the Fourth Proportional to 26.67, 36.81 and 23.07

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Solution

The fourth proportional to 26.67, 36.81 and 23.07 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.67 : 36.81 = 23.07 : x
  2. Step 2: Convert to fraction form
    26.67/36.81 = 23.07/x
  3. Step 3: Cross multiply
    26.67x = 36.81 × 23.07
  4. Step 4: Simplify right side
    26.67x = 849.21
  5. Step 5: Solve for x
    x = 849.21/26.67
  6. Step 6: Final answer
    x = 31.84

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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.