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Finding the Fourth Proportional to 120.77, 181.14 and 52.26

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Solution

The fourth proportional to 120.77, 181.14 and 52.26 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 181.14 = 52.26 : x
  2. Step 2: Convert to fraction form
    120.77/181.14 = 52.26/x
  3. Step 3: Cross multiply
    120.77x = 181.14 × 52.26
  4. Step 4: Simplify right side
    120.77x = 9,466.38
  5. Step 5: Solve for x
    x = 9,466.38/120.77
  6. Step 6: Final answer
    x = 78.39

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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.