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Finding the Fourth Proportional to 120.78, 181.02 and 52.22

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Solution

The fourth proportional to 120.78, 181.02 and 52.22 is: 78.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.02 = 52.22 : x
  2. Step 2: Convert to fraction form
    120.78/181.02 = 52.22/x
  3. Step 3: Cross multiply
    120.78x = 181.02 × 52.22
  4. Step 4: Simplify right side
    120.78x = 9,453.06
  5. Step 5: Solve for x
    x = 9,453.06/120.78
  6. Step 6: Final answer
    x = 78.27

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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.