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Finding the Fourth Proportional to 111.06, 166.51 and 42.54

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Solution

The fourth proportional to 111.06, 166.51 and 42.54 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 166.51 = 42.54 : x
  2. Step 2: Convert to fraction form
    111.06/166.51 = 42.54/x
  3. Step 3: Cross multiply
    111.06x = 166.51 × 42.54
  4. Step 4: Simplify right side
    111.06x = 7,083.34
  5. Step 5: Solve for x
    x = 7,083.34/111.06
  6. Step 6: Final answer
    x = 63.78

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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.