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Finding the Fourth Proportional to 26.70, 40 and 25.76

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Solution

The fourth proportional to 26.70, 40 and 25.76 is: 38.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.70 : 40 = 25.76 : x
  2. Step 2: Convert to fraction form
    26.70/40 = 25.76/x
  3. Step 3: Cross multiply
    26.70x = 40 × 25.76
  4. Step 4: Simplify right side
    26.70x = 1,030.40
  5. Step 5: Solve for x
    x = 1,030.40/26.70
  6. Step 6: Final answer
    x = 38.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.