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Finding the Fourth Proportional to 22.55, 30.92 and 22.19

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Solution

The fourth proportional to 22.55, 30.92 and 22.19 is: 30.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.55 : 30.92 = 22.19 : x
  2. Step 2: Convert to fraction form
    22.55/30.92 = 22.19/x
  3. Step 3: Cross multiply
    22.55x = 30.92 × 22.19
  4. Step 4: Simplify right side
    22.55x = 685.85
  5. Step 5: Solve for x
    x = 685.85/22.55
  6. Step 6: Final answer
    x = 30.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.