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Finding the Fourth Proportional to 120.65, 181.07 and 52.22

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Solution

The fourth proportional to 120.65, 181.07 and 52.22 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 181.07 = 52.22 : x
  2. Step 2: Convert to fraction form
    120.65/181.07 = 52.22/x
  3. Step 3: Cross multiply
    120.65x = 181.07 × 52.22
  4. Step 4: Simplify right side
    120.65x = 9,455.35
  5. Step 5: Solve for x
    x = 9,455.35/120.65
  6. Step 6: Final answer
    x = 78.37

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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.