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Finding the Fourth Proportional to 111.72, 167.31 and 101.55

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Solution

The fourth proportional to 111.72, 167.31 and 101.55 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 167.31 = 101.55 : x
  2. Step 2: Convert to fraction form
    111.72/167.31 = 101.55/x
  3. Step 3: Cross multiply
    111.72x = 167.31 × 101.55
  4. Step 4: Simplify right side
    111.72x = 16,990.33
  5. Step 5: Solve for x
    x = 16,990.33/111.72
  6. Step 6: Final answer
    x = 152.08

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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.