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Finding the Fourth Proportional to 120.82, 181.38 and 77.58

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Solution

The fourth proportional to 120.82, 181.38 and 77.58 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 181.38 = 77.58 : x
  2. Step 2: Convert to fraction form
    120.82/181.38 = 77.58/x
  3. Step 3: Cross multiply
    120.82x = 181.38 × 77.58
  4. Step 4: Simplify right side
    120.82x = 14,071.46
  5. Step 5: Solve for x
    x = 14,071.46/120.82
  6. Step 6: Final answer
    x = 116.47

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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.