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Finding the Fourth Proportional to 22.28, 30.75 and 13.07

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Solution

The fourth proportional to 22.28, 30.75 and 13.07 is: 18.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.28 : 30.75 = 13.07 : x
  2. Step 2: Convert to fraction form
    22.28/30.75 = 13.07/x
  3. Step 3: Cross multiply
    22.28x = 30.75 × 13.07
  4. Step 4: Simplify right side
    22.28x = 402.00
  5. Step 5: Solve for x
    x = 402.00/22.28
  6. Step 6: Final answer
    x = 18.04

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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.