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Finding the Fourth Proportional to 19.71, 29.61 and 14.31

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Solution

The fourth proportional to 19.71, 29.61 and 14.31 is: 21.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.71 : 29.61 = 14.31 : x
  2. Step 2: Convert to fraction form
    19.71/29.61 = 14.31/x
  3. Step 3: Cross multiply
    19.71x = 29.61 × 14.31
  4. Step 4: Simplify right side
    19.71x = 423.65
  5. Step 5: Solve for x
    x = 423.65/19.71
  6. Step 6: Final answer
    x = 21.49

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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.