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Finding the Fourth Proportional to 19.46, 26.80 and 17.94

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Solution

The fourth proportional to 19.46, 26.80 and 17.94 is: 24.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.46 : 26.80 = 17.94 : x
  2. Step 2: Convert to fraction form
    19.46/26.80 = 17.94/x
  3. Step 3: Cross multiply
    19.46x = 26.80 × 17.94
  4. Step 4: Simplify right side
    19.46x = 480.79
  5. Step 5: Solve for x
    x = 480.79/19.46
  6. Step 6: Final answer
    x = 24.71

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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.