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Finding the Fourth Proportional to 23.95, 35.76 and 20.15

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Solution

The fourth proportional to 23.95, 35.76 and 20.15 is: 30.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.95 : 35.76 = 20.15 : x
  2. Step 2: Convert to fraction form
    23.95/35.76 = 20.15/x
  3. Step 3: Cross multiply
    23.95x = 35.76 × 20.15
  4. Step 4: Simplify right side
    23.95x = 720.46
  5. Step 5: Solve for x
    x = 720.46/23.95
  6. Step 6: Final answer
    x = 30.09

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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.