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Finding the Fourth Proportional to 14.80, 20.46 and 13.82

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Solution

The fourth proportional to 14.80, 20.46 and 13.82 is: 19.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.80 : 20.46 = 13.82 : x
  2. Step 2: Convert to fraction form
    14.80/20.46 = 13.82/x
  3. Step 3: Cross multiply
    14.80x = 20.46 × 13.82
  4. Step 4: Simplify right side
    14.80x = 282.76
  5. Step 5: Solve for x
    x = 282.76/14.80
  6. Step 6: Final answer
    x = 19.11

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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.