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Finding the Fourth Proportional to 26.90, 40 and 26.84

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Solution

The fourth proportional to 26.90, 40 and 26.84 is: 39.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.90 : 40 = 26.84 : x
  2. Step 2: Convert to fraction form
    26.90/40 = 26.84/x
  3. Step 3: Cross multiply
    26.90x = 40 × 26.84
  4. Step 4: Simplify right side
    26.90x = 1,073.60
  5. Step 5: Solve for x
    x = 1,073.60/26.90
  6. Step 6: Final answer
    x = 39.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.