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Finding the Fourth Proportional to 111.42, 167.07 and 72.84

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Solution

The fourth proportional to 111.42, 167.07 and 72.84 is: 109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 167.07 = 72.84 : x
  2. Step 2: Convert to fraction form
    111.42/167.07 = 72.84/x
  3. Step 3: Cross multiply
    111.42x = 167.07 × 72.84
  4. Step 4: Simplify right side
    111.42x = 12,169.38
  5. Step 5: Solve for x
    x = 12,169.38/111.42
  6. Step 6: Final answer
    x = 109.22

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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.