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Finding the Fourth Proportional to 111.33, 166.98 and 71.04

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Solution

The fourth proportional to 111.33, 166.98 and 71.04 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 166.98 = 71.04 : x
  2. Step 2: Convert to fraction form
    111.33/166.98 = 71.04/x
  3. Step 3: Cross multiply
    111.33x = 166.98 × 71.04
  4. Step 4: Simplify right side
    111.33x = 11,861.90
  5. Step 5: Solve for x
    x = 11,861.90/111.33
  6. Step 6: Final answer
    x = 106.54

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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.