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Finding the Fourth Proportional to 19.62, 27.09 and 14.16

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Solution

The fourth proportional to 19.62, 27.09 and 14.16 is: 19.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.62 : 27.09 = 14.16 : x
  2. Step 2: Convert to fraction form
    19.62/27.09 = 14.16/x
  3. Step 3: Cross multiply
    19.62x = 27.09 × 14.16
  4. Step 4: Simplify right side
    19.62x = 383.59
  5. Step 5: Solve for x
    x = 383.59/19.62
  6. Step 6: Final answer
    x = 19.55

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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.