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Finding the Fourth Proportional to 18.50, 27.70 and 12.46

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Solution

The fourth proportional to 18.50, 27.70 and 12.46 is: 18.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.50 : 27.70 = 12.46 : x
  2. Step 2: Convert to fraction form
    18.50/27.70 = 12.46/x
  3. Step 3: Cross multiply
    18.50x = 27.70 × 12.46
  4. Step 4: Simplify right side
    18.50x = 345.14
  5. Step 5: Solve for x
    x = 345.14/18.50
  6. Step 6: Final answer
    x = 18.66

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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.