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Finding the Fourth Proportional to 24.77, 36.96 and 20.99

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Solution

The fourth proportional to 24.77, 36.96 and 20.99 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 36.96 = 20.99 : x
  2. Step 2: Convert to fraction form
    24.77/36.96 = 20.99/x
  3. Step 3: Cross multiply
    24.77x = 36.96 × 20.99
  4. Step 4: Simplify right side
    24.77x = 775.80
  5. Step 5: Solve for x
    x = 775.80/24.77
  6. Step 6: Final answer
    x = 31.32

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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.