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Finding the Fourth Proportional to 120.78, 181.08 and 52.33

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Solution

The fourth proportional to 120.78, 181.08 and 52.33 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 181.08 = 52.33 : x
  2. Step 2: Convert to fraction form
    120.78/181.08 = 52.33/x
  3. Step 3: Cross multiply
    120.78x = 181.08 × 52.33
  4. Step 4: Simplify right side
    120.78x = 9,475.92
  5. Step 5: Solve for x
    x = 9,475.92/120.78
  6. Step 6: Final answer
    x = 78.46

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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.