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Finding the Fourth Proportional to 24.64, 36.90 and 23.88

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Solution

The fourth proportional to 24.64, 36.90 and 23.88 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.64 : 36.90 = 23.88 : x
  2. Step 2: Convert to fraction form
    24.64/36.90 = 23.88/x
  3. Step 3: Cross multiply
    24.64x = 36.90 × 23.88
  4. Step 4: Simplify right side
    24.64x = 880.99
  5. Step 5: Solve for x
    x = 880.99/24.64
  6. Step 6: Final answer
    x = 35.75

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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.