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Finding the Fourth Proportional to 22.54, 30.70 and 22.48

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Solution

The fourth proportional to 22.54, 30.70 and 22.48 is: 30.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 30.70 = 22.48 : x
  2. Step 2: Convert to fraction form
    22.54/30.70 = 22.48/x
  3. Step 3: Cross multiply
    22.54x = 30.70 × 22.48
  4. Step 4: Simplify right side
    22.54x = 690.14
  5. Step 5: Solve for x
    x = 690.14/22.54
  6. Step 6: Final answer
    x = 30.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.