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Finding the Fourth Proportional to 112.50, 167.81 and 110.64

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Solution

The fourth proportional to 112.50, 167.81 and 110.64 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 167.81 = 110.64 : x
  2. Step 2: Convert to fraction form
    112.50/167.81 = 110.64/x
  3. Step 3: Cross multiply
    112.50x = 167.81 × 110.64
  4. Step 4: Simplify right side
    112.50x = 18,566.78
  5. Step 5: Solve for x
    x = 18,566.78/112.50
  6. Step 6: Final answer
    x = 165.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.