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Finding the Fourth Proportional to 120.88, 181.36 and 77.44

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Solution

The fourth proportional to 120.88, 181.36 and 77.44 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 181.36 = 77.44 : x
  2. Step 2: Convert to fraction form
    120.88/181.36 = 77.44/x
  3. Step 3: Cross multiply
    120.88x = 181.36 × 77.44
  4. Step 4: Simplify right side
    120.88x = 14,044.52
  5. Step 5: Solve for x
    x = 14,044.52/120.88
  6. Step 6: Final answer
    x = 116.19

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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.