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Finding the Fourth Proportional to 18.42, 27.62 and 11.64

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Solution

The fourth proportional to 18.42, 27.62 and 11.64 is: 17.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.42 : 27.62 = 11.64 : x
  2. Step 2: Convert to fraction form
    18.42/27.62 = 11.64/x
  3. Step 3: Cross multiply
    18.42x = 27.62 × 11.64
  4. Step 4: Simplify right side
    18.42x = 321.44
  5. Step 5: Solve for x
    x = 321.44/18.42
  6. Step 6: Final answer
    x = 17.45

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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.