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Finding the Fourth Proportional to 23.94, 35.88 and 9.48

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Solution

The fourth proportional to 23.94, 35.88 and 9.48 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.94 : 35.88 = 9.48 : x
  2. Step 2: Convert to fraction form
    23.94/35.88 = 9.48/x
  3. Step 3: Cross multiply
    23.94x = 35.88 × 9.48
  4. Step 4: Simplify right side
    23.94x = 340.14
  5. Step 5: Solve for x
    x = 340.14/23.94
  6. Step 6: Final answer
    x = 14.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.