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Finding the Fourth Proportional to 21.98, 32.81 and 19.10

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Solution

The fourth proportional to 21.98, 32.81 and 19.10 is: 28.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 32.81 = 19.10 : x
  2. Step 2: Convert to fraction form
    21.98/32.81 = 19.10/x
  3. Step 3: Cross multiply
    21.98x = 32.81 × 19.10
  4. Step 4: Simplify right side
    21.98x = 626.52
  5. Step 5: Solve for x
    x = 626.52/21.98
  6. Step 6: Final answer
    x = 28.50

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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.