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Finding the Fourth Proportional to 53.75, 80.42 and 38.40

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Solution

The fourth proportional to 53.75, 80.42 and 38.40 is: 57.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 80.42 = 38.40 : x
  2. Step 2: Convert to fraction form
    53.75/80.42 = 38.40/x
  3. Step 3: Cross multiply
    53.75x = 80.42 × 38.40
  4. Step 4: Simplify right side
    53.75x = 3,087.94
  5. Step 5: Solve for x
    x = 3,087.94/53.75
  6. Step 6: Final answer
    x = 57.46

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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.