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Finding the Fourth Proportional to 53.46, 80.12 and 38.21

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Solution

The fourth proportional to 53.46, 80.12 and 38.21 is: 57.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 80.12 = 38.21 : x
  2. Step 2: Convert to fraction form
    53.46/80.12 = 38.21/x
  3. Step 3: Cross multiply
    53.46x = 80.12 × 38.21
  4. Step 4: Simplify right side
    53.46x = 3,061.08
  5. Step 5: Solve for x
    x = 3,061.08/53.46
  6. Step 6: Final answer
    x = 57.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.