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Finding the Fourth Proportional to 120.99, 181.47 and 39.83

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Solution

The fourth proportional to 120.99, 181.47 and 39.83 is: 59.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.99 : 181.47 = 39.83 : x
  2. Step 2: Convert to fraction form
    120.99/181.47 = 39.83/x
  3. Step 3: Cross multiply
    120.99x = 181.47 × 39.83
  4. Step 4: Simplify right side
    120.99x = 7,227.95
  5. Step 5: Solve for x
    x = 7,227.95/120.99
  6. Step 6: Final answer
    x = 59.74

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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.