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Finding the Fourth Proportional to 26.86, 36.80 and 23.62

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Solution

The fourth proportional to 26.86, 36.80 and 23.62 is: 32.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.86 : 36.80 = 23.62 : x
  2. Step 2: Convert to fraction form
    26.86/36.80 = 23.62/x
  3. Step 3: Cross multiply
    26.86x = 36.80 × 23.62
  4. Step 4: Simplify right side
    26.86x = 869.22
  5. Step 5: Solve for x
    x = 869.22/26.86
  6. Step 6: Final answer
    x = 32.36

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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.