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Finding the Fourth Proportional to 111.35, 167.00 and 34.29

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Solution

The fourth proportional to 111.35, 167.00 and 34.29 is: 51.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.35 : 167.00 = 34.29 : x
  2. Step 2: Convert to fraction form
    111.35/167.00 = 34.29/x
  3. Step 3: Cross multiply
    111.35x = 167.00 × 34.29
  4. Step 4: Simplify right side
    111.35x = 5,726.26
  5. Step 5: Solve for x
    x = 5,726.26/111.35
  6. Step 6: Final answer
    x = 51.42

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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.