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Finding the Fourth Proportional to 13.90, 19.02 and 13.77

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Solution

The fourth proportional to 13.90, 19.02 and 13.77 is: 18.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.90 : 19.02 = 13.77 : x
  2. Step 2: Convert to fraction form
    13.90/19.02 = 13.77/x
  3. Step 3: Cross multiply
    13.90x = 19.02 × 13.77
  4. Step 4: Simplify right side
    13.90x = 261.78
  5. Step 5: Solve for x
    x = 261.78/13.90
  6. Step 6: Final answer
    x = 18.83

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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.