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Finding the Fourth Proportional to 26.57, 36.64 and 17.34

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Solution

The fourth proportional to 26.57, 36.64 and 17.34 is: 23.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 36.64 = 17.34 : x
  2. Step 2: Convert to fraction form
    26.57/36.64 = 17.34/x
  3. Step 3: Cross multiply
    26.57x = 36.64 × 17.34
  4. Step 4: Simplify right side
    26.57x = 635.30
  5. Step 5: Solve for x
    x = 635.30/26.57
  6. Step 6: Final answer
    x = 23.91

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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.