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Finding the Fourth Proportional to 18.30, 27.46 and 16.64

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Solution

The fourth proportional to 18.30, 27.46 and 16.64 is: 24.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.30 : 27.46 = 16.64 : x
  2. Step 2: Convert to fraction form
    18.30/27.46 = 16.64/x
  3. Step 3: Cross multiply
    18.30x = 27.46 × 16.64
  4. Step 4: Simplify right side
    18.30x = 456.93
  5. Step 5: Solve for x
    x = 456.93/18.30
  6. Step 6: Final answer
    x = 24.97

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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.