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Finding the Fourth Proportional to 22.12, 30.54 and 13.50

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Solution

The fourth proportional to 22.12, 30.54 and 13.50 is: 18.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.12 : 30.54 = 13.50 : x
  2. Step 2: Convert to fraction form
    22.12/30.54 = 13.50/x
  3. Step 3: Cross multiply
    22.12x = 30.54 × 13.50
  4. Step 4: Simplify right side
    22.12x = 412.29
  5. Step 5: Solve for x
    x = 412.29/22.12
  6. Step 6: Final answer
    x = 18.64

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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.