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Finding the Fourth Proportional to 119.84, 180.65 and 112.01

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Solution

The fourth proportional to 119.84, 180.65 and 112.01 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 180.65 = 112.01 : x
  2. Step 2: Convert to fraction form
    119.84/180.65 = 112.01/x
  3. Step 3: Cross multiply
    119.84x = 180.65 × 112.01
  4. Step 4: Simplify right side
    119.84x = 20,233.98
  5. Step 5: Solve for x
    x = 20,233.98/119.84
  6. Step 6: Final answer
    x = 168.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.