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Finding the Fourth Proportional to 22.03, 33.02 and 13.03

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Solution

The fourth proportional to 22.03, 33.02 and 13.03 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.03 : 33.02 = 13.03 : x
  2. Step 2: Convert to fraction form
    22.03/33.02 = 13.03/x
  3. Step 3: Cross multiply
    22.03x = 33.02 × 13.03
  4. Step 4: Simplify right side
    22.03x = 430.02
  5. Step 5: Solve for x
    x = 430.02/22.03
  6. Step 6: Final answer
    x = 19.52

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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.