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Finding the Fourth Proportional to 14.10, 19.54 and 13.84

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Solution

The fourth proportional to 14.10, 19.54 and 13.84 is: 19.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.10 : 19.54 = 13.84 : x
  2. Step 2: Convert to fraction form
    14.10/19.54 = 13.84/x
  3. Step 3: Cross multiply
    14.10x = 19.54 × 13.84
  4. Step 4: Simplify right side
    14.10x = 270.43
  5. Step 5: Solve for x
    x = 270.43/14.10
  6. Step 6: Final answer
    x = 19.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.