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Finding the Fourth Proportional to 40.96, 61.40 and 26.48

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Solution

The fourth proportional to 40.96, 61.40 and 26.48 is: 39.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.96 : 61.40 = 26.48 : x
  2. Step 2: Convert to fraction form
    40.96/61.40 = 26.48/x
  3. Step 3: Cross multiply
    40.96x = 61.40 × 26.48
  4. Step 4: Simplify right side
    40.96x = 1,625.87
  5. Step 5: Solve for x
    x = 1,625.87/40.96
  6. Step 6: Final answer
    x = 39.69

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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.