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Finding the Fourth Proportional to 38.85, 53.61 and 22.48

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Solution

The fourth proportional to 38.85, 53.61 and 22.48 is: 31.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.85 : 53.61 = 22.48 : x
  2. Step 2: Convert to fraction form
    38.85/53.61 = 22.48/x
  3. Step 3: Cross multiply
    38.85x = 53.61 × 22.48
  4. Step 4: Simplify right side
    38.85x = 1,204.94
  5. Step 5: Solve for x
    x = 1,204.94/38.85
  6. Step 6: Final answer
    x = 31.02

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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.