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Finding the Fourth Proportional to 19.74, 29.49 and 16.75

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Solution

The fourth proportional to 19.74, 29.49 and 16.75 is: 25.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.74 : 29.49 = 16.75 : x
  2. Step 2: Convert to fraction form
    19.74/29.49 = 16.75/x
  3. Step 3: Cross multiply
    19.74x = 29.49 × 16.75
  4. Step 4: Simplify right side
    19.74x = 493.96
  5. Step 5: Solve for x
    x = 493.96/19.74
  6. Step 6: Final answer
    x = 25.02

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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.