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Finding the Fourth Proportional to 120.99, 181.59 and 82.42

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Solution

The fourth proportional to 120.99, 181.59 and 82.42 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.99 : 181.59 = 82.42 : x
  2. Step 2: Convert to fraction form
    120.99/181.59 = 82.42/x
  3. Step 3: Cross multiply
    120.99x = 181.59 × 82.42
  4. Step 4: Simplify right side
    120.99x = 14,966.35
  5. Step 5: Solve for x
    x = 14,966.35/120.99
  6. Step 6: Final answer
    x = 123.70

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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.