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Finding the Fourth Proportional to 14.10, 19.49 and 13.61

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Solution

The fourth proportional to 14.10, 19.49 and 13.61 is: 18.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.10 : 19.49 = 13.61 : x
  2. Step 2: Convert to fraction form
    14.10/19.49 = 13.61/x
  3. Step 3: Cross multiply
    14.10x = 19.49 × 13.61
  4. Step 4: Simplify right side
    14.10x = 265.09
  5. Step 5: Solve for x
    x = 265.09/14.10
  6. Step 6: Final answer
    x = 18.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.