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Finding the Fourth Proportional to 38.58, 53.24 and 22.21

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Solution

The fourth proportional to 38.58, 53.24 and 22.21 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.58 : 53.24 = 22.21 : x
  2. Step 2: Convert to fraction form
    38.58/53.24 = 22.21/x
  3. Step 3: Cross multiply
    38.58x = 53.24 × 22.21
  4. Step 4: Simplify right side
    38.58x = 1,182.08
  5. Step 5: Solve for x
    x = 1,182.08/38.58
  6. Step 6: Final answer
    x = 30.64

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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.