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Finding the Fourth Proportional to 19.97, 29.88 and 19.02

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Solution

The fourth proportional to 19.97, 29.88 and 19.02 is: 28.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 29.88 = 19.02 : x
  2. Step 2: Convert to fraction form
    19.97/29.88 = 19.02/x
  3. Step 3: Cross multiply
    19.97x = 29.88 × 19.02
  4. Step 4: Simplify right side
    19.97x = 568.32
  5. Step 5: Solve for x
    x = 568.32/19.97
  6. Step 6: Final answer
    x = 28.46

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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.