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Finding the Fourth Proportional to 13.55, 18.54 and 13.46

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Solution

The fourth proportional to 13.55, 18.54 and 13.46 is: 18.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.55 : 18.54 = 13.46 : x
  2. Step 2: Convert to fraction form
    13.55/18.54 = 13.46/x
  3. Step 3: Cross multiply
    13.55x = 18.54 × 13.46
  4. Step 4: Simplify right side
    13.55x = 249.46
  5. Step 5: Solve for x
    x = 249.46/13.55
  6. Step 6: Final answer
    x = 18.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.