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Finding the Fourth Proportional to 80.52, 120.76 and 23.52

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Solution

The fourth proportional to 80.52, 120.76 and 23.52 is: 35.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.52 : 120.76 = 23.52 : x
  2. Step 2: Convert to fraction form
    80.52/120.76 = 23.52/x
  3. Step 3: Cross multiply
    80.52x = 120.76 × 23.52
  4. Step 4: Simplify right side
    80.52x = 2,840.28
  5. Step 5: Solve for x
    x = 2,840.28/80.52
  6. Step 6: Final answer
    x = 35.27

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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.