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Finding the Fourth Proportional to 53.52, 80.23 and 24.62

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Solution

The fourth proportional to 53.52, 80.23 and 24.62 is: 36.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 80.23 = 24.62 : x
  2. Step 2: Convert to fraction form
    53.52/80.23 = 24.62/x
  3. Step 3: Cross multiply
    53.52x = 80.23 × 24.62
  4. Step 4: Simplify right side
    53.52x = 1,975.00
  5. Step 5: Solve for x
    x = 1,975.00/53.52
  6. Step 6: Final answer
    x = 36.90

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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.