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Finding the Fourth Proportional to 22.06, 33 and 19.48

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Solution

The fourth proportional to 22.06, 33 and 19.48 is: 29.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.06 : 33 = 19.48 : x
  2. Step 2: Convert to fraction form
    22.06/33 = 19.48/x
  3. Step 3: Cross multiply
    22.06x = 33 × 19.48
  4. Step 4: Simplify right side
    22.06x = 642.84
  5. Step 5: Solve for x
    x = 642.84/22.06
  6. Step 6: Final answer
    x = 29.14

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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.