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Finding the Fourth Proportional to 14.19, 19.56 and 11.91

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Solution

The fourth proportional to 14.19, 19.56 and 11.91 is: 16.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.19 : 19.56 = 11.91 : x
  2. Step 2: Convert to fraction form
    14.19/19.56 = 11.91/x
  3. Step 3: Cross multiply
    14.19x = 19.56 × 11.91
  4. Step 4: Simplify right side
    14.19x = 232.96
  5. Step 5: Solve for x
    x = 232.96/14.19
  6. Step 6: Final answer
    x = 16.42

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1.5x scale

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.