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Finding the Fourth Proportional to 14.16, 19.41 and 14

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Solution

The fourth proportional to 14.16, 19.41 and 14 is: 19.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.16 : 19.41 = 14 : x
  2. Step 2: Convert to fraction form
    14.16/19.41 = 14/x
  3. Step 3: Cross multiply
    14.16x = 19.41 × 14
  4. Step 4: Simplify right side
    14.16x = 271.74
  5. Step 5: Solve for x
    x = 271.74/14.16
  6. Step 6: Final answer
    x = 19.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.