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Finding the Fourth Proportional to 26.75, 36.74 and 24.01

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Solution

The fourth proportional to 26.75, 36.74 and 24.01 is: 32.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.75 : 36.74 = 24.01 : x
  2. Step 2: Convert to fraction form
    26.75/36.74 = 24.01/x
  3. Step 3: Cross multiply
    26.75x = 36.74 × 24.01
  4. Step 4: Simplify right side
    26.75x = 882.10
  5. Step 5: Solve for x
    x = 882.10/26.75
  6. Step 6: Final answer
    x = 32.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.