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Finding the Fourth Proportional to 26.45, 36.48 and 23.82

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Solution

The fourth proportional to 26.45, 36.48 and 23.82 is: 32.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.45 : 36.48 = 23.82 : x
  2. Step 2: Convert to fraction form
    26.45/36.48 = 23.82/x
  3. Step 3: Cross multiply
    26.45x = 36.48 × 23.82
  4. Step 4: Simplify right side
    26.45x = 868.95
  5. Step 5: Solve for x
    x = 868.95/26.45
  6. Step 6: Final answer
    x = 32.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.