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Finding the Fourth Proportional to 18.00, 26.95 and 8.96

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Solution

The fourth proportional to 18.00, 26.95 and 8.96 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.00 : 26.95 = 8.96 : x
  2. Step 2: Convert to fraction form
    18.00/26.95 = 8.96/x
  3. Step 3: Cross multiply
    18.00x = 26.95 × 8.96
  4. Step 4: Simplify right side
    18.00x = 241.43
  5. Step 5: Solve for x
    x = 241.43/18.00
  6. Step 6: Final answer
    x = 13.42

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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.