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Finding the Fourth Proportional to 14.29, 19.72 and 10.83

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Solution

The fourth proportional to 14.29, 19.72 and 10.83 is: 14.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.72 = 10.83 : x
  2. Step 2: Convert to fraction form
    14.29/19.72 = 10.83/x
  3. Step 3: Cross multiply
    14.29x = 19.72 × 10.83
  4. Step 4: Simplify right side
    14.29x = 213.54
  5. Step 5: Solve for x
    x = 213.54/14.29
  6. Step 6: Final answer
    x = 14.95

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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.