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Finding the Fourth Proportional to 53.67, 80.42 and 32.25

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Solution

The fourth proportional to 53.67, 80.42 and 32.25 is: 48.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.67 : 80.42 = 32.25 : x
  2. Step 2: Convert to fraction form
    53.67/80.42 = 32.25/x
  3. Step 3: Cross multiply
    53.67x = 80.42 × 32.25
  4. Step 4: Simplify right side
    53.67x = 2,593.38
  5. Step 5: Solve for x
    x = 2,593.38/53.67
  6. Step 6: Final answer
    x = 48.32

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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.