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Finding the Fourth Proportional to 24.24, 33.64 and 23.20

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Solution

The fourth proportional to 24.24, 33.64 and 23.20 is: 32.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.24 : 33.64 = 23.20 : x
  2. Step 2: Convert to fraction form
    24.24/33.64 = 23.20/x
  3. Step 3: Cross multiply
    24.24x = 33.64 × 23.20
  4. Step 4: Simplify right side
    24.24x = 780.45
  5. Step 5: Solve for x
    x = 780.45/24.24
  6. Step 6: Final answer
    x = 32.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.