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Finding the Fourth Proportional to 22.20, 30.63 and 16.67

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Solution

The fourth proportional to 22.20, 30.63 and 16.67 is: 23.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.20 : 30.63 = 16.67 : x
  2. Step 2: Convert to fraction form
    22.20/30.63 = 16.67/x
  3. Step 3: Cross multiply
    22.20x = 30.63 × 16.67
  4. Step 4: Simplify right side
    22.20x = 510.60
  5. Step 5: Solve for x
    x = 510.60/22.20
  6. Step 6: Final answer
    x = 23.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.