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Finding the Fourth Proportional to 26.51, 36.59 and 20.66

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Solution

The fourth proportional to 26.51, 36.59 and 20.66 is: 28.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.51 : 36.59 = 20.66 : x
  2. Step 2: Convert to fraction form
    26.51/36.59 = 20.66/x
  3. Step 3: Cross multiply
    26.51x = 36.59 × 20.66
  4. Step 4: Simplify right side
    26.51x = 755.85
  5. Step 5: Solve for x
    x = 755.85/26.51
  6. Step 6: Final answer
    x = 28.52

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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.