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Finding the Fourth Proportional to 111.58, 167.30 and 82.42

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Solution

The fourth proportional to 111.58, 167.30 and 82.42 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.58 : 167.30 = 82.42 : x
  2. Step 2: Convert to fraction form
    111.58/167.30 = 82.42/x
  3. Step 3: Cross multiply
    111.58x = 167.30 × 82.42
  4. Step 4: Simplify right side
    111.58x = 13,787.62
  5. Step 5: Solve for x
    x = 13,787.62/111.58
  6. Step 6: Final answer
    x = 123.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.