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Finding the Fourth Proportional to 26.58, 40.05 and 25.68

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Solution

The fourth proportional to 26.58, 40.05 and 25.68 is: 38.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.58 : 40.05 = 25.68 : x
  2. Step 2: Convert to fraction form
    26.58/40.05 = 25.68/x
  3. Step 3: Cross multiply
    26.58x = 40.05 × 25.68
  4. Step 4: Simplify right side
    26.58x = 1,028.48
  5. Step 5: Solve for x
    x = 1,028.48/26.58
  6. Step 6: Final answer
    x = 38.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.