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Finding the Fourth Proportional to 120.84, 182.36 and 111.93

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Solution

The fourth proportional to 120.84, 182.36 and 111.93 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 182.36 = 111.93 : x
  2. Step 2: Convert to fraction form
    120.84/182.36 = 111.93/x
  3. Step 3: Cross multiply
    120.84x = 182.36 × 111.93
  4. Step 4: Simplify right side
    120.84x = 20,411.00
  5. Step 5: Solve for x
    x = 20,411.00/120.84
  6. Step 6: Final answer
    x = 168.91

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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.