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Finding the Fourth Proportional to 111.72, 167.38 and 75.08

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Solution

The fourth proportional to 111.72, 167.38 and 75.08 is: 112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 167.38 = 75.08 : x
  2. Step 2: Convert to fraction form
    111.72/167.38 = 75.08/x
  3. Step 3: Cross multiply
    111.72x = 167.38 × 75.08
  4. Step 4: Simplify right side
    111.72x = 12,566.89
  5. Step 5: Solve for x
    x = 12,566.89/111.72
  6. Step 6: Final answer
    x = 112.49

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Why These Related Problems?

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