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Finding the Fourth Proportional to 19.96, 29.72 and 18.71

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Solution

The fourth proportional to 19.96, 29.72 and 18.71 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.96 : 29.72 = 18.71 : x
  2. Step 2: Convert to fraction form
    19.96/29.72 = 18.71/x
  3. Step 3: Cross multiply
    19.96x = 29.72 × 18.71
  4. Step 4: Simplify right side
    19.96x = 555.91
  5. Step 5: Solve for x
    x = 555.91/19.96
  6. Step 6: Final answer
    x = 27.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.