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Finding the Fourth Proportional to 111.71, 167.52 and 34.65

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Solution

The fourth proportional to 111.71, 167.52 and 34.65 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.71 : 167.52 = 34.65 : x
  2. Step 2: Convert to fraction form
    111.71/167.52 = 34.65/x
  3. Step 3: Cross multiply
    111.71x = 167.52 × 34.65
  4. Step 4: Simplify right side
    111.71x = 5,804.57
  5. Step 5: Solve for x
    x = 5,804.57/111.71
  6. Step 6: Final answer
    x = 51.96

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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.