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Finding the Fourth Proportional to 25.35, 38.00 and 23.64

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Solution

The fourth proportional to 25.35, 38.00 and 23.64 is: 35.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.35 : 38.00 = 23.64 : x
  2. Step 2: Convert to fraction form
    25.35/38.00 = 23.64/x
  3. Step 3: Cross multiply
    25.35x = 38.00 × 23.64
  4. Step 4: Simplify right side
    25.35x = 898.20
  5. Step 5: Solve for x
    x = 898.20/25.35
  6. Step 6: Final answer
    x = 35.43

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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.