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Finding the Fourth Proportional to 53.43, 80.14 and 24.52

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Solution

The fourth proportional to 53.43, 80.14 and 24.52 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.43 : 80.14 = 24.52 : x
  2. Step 2: Convert to fraction form
    53.43/80.14 = 24.52/x
  3. Step 3: Cross multiply
    53.43x = 80.14 × 24.52
  4. Step 4: Simplify right side
    53.43x = 1,965.03
  5. Step 5: Solve for x
    x = 1,965.03/53.43
  6. Step 6: Final answer
    x = 36.78

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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.