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Finding the Fourth Proportional to 22.36, 30.57 and 22.12

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Solution

The fourth proportional to 22.36, 30.57 and 22.12 is: 30.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.36 : 30.57 = 22.12 : x
  2. Step 2: Convert to fraction form
    22.36/30.57 = 22.12/x
  3. Step 3: Cross multiply
    22.36x = 30.57 × 22.12
  4. Step 4: Simplify right side
    22.36x = 676.21
  5. Step 5: Solve for x
    x = 676.21/22.36
  6. Step 6: Final answer
    x = 30.24

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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.