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Finding the Fourth Proportional to 120.22, 180.28 and 51.76

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Solution

The fourth proportional to 120.22, 180.28 and 51.76 is: 77.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 180.28 = 51.76 : x
  2. Step 2: Convert to fraction form
    120.22/180.28 = 51.76/x
  3. Step 3: Cross multiply
    120.22x = 180.28 × 51.76
  4. Step 4: Simplify right side
    120.22x = 9,331.29
  5. Step 5: Solve for x
    x = 9,331.29/120.22
  6. Step 6: Final answer
    x = 77.62

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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.