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Finding the Fourth Proportional to 19.69, 29.46 and 14.59

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Solution

The fourth proportional to 19.69, 29.46 and 14.59 is: 21.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 29.46 = 14.59 : x
  2. Step 2: Convert to fraction form
    19.69/29.46 = 14.59/x
  3. Step 3: Cross multiply
    19.69x = 29.46 × 14.59
  4. Step 4: Simplify right side
    19.69x = 429.82
  5. Step 5: Solve for x
    x = 429.82/19.69
  6. Step 6: Final answer
    x = 21.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.