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Finding the Fourth Proportional to 18.42, 27.64 and 8.28

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Solution

The fourth proportional to 18.42, 27.64 and 8.28 is: 12.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.42 : 27.64 = 8.28 : x
  2. Step 2: Convert to fraction form
    18.42/27.64 = 8.28/x
  3. Step 3: Cross multiply
    18.42x = 27.64 × 8.28
  4. Step 4: Simplify right side
    18.42x = 228.86
  5. Step 5: Solve for x
    x = 228.86/18.42
  6. Step 6: Final answer
    x = 12.42

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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.