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Finding the Fourth Proportional to 26, 38.96 and 24.16

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Solution

The fourth proportional to 26, 38.96 and 24.16 is: 36.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 38.96 = 24.16 : x
  2. Step 2: Convert to fraction form
    26/38.96 = 24.16/x
  3. Step 3: Cross multiply
    26x = 38.96 × 24.16
  4. Step 4: Simplify right side
    26x = 941.27
  5. Step 5: Solve for x
    x = 941.27/26
  6. Step 6: Final answer
    x = 36.20

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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.