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Finding the Fourth Proportional to 111.16, 166.86 and 70.66

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Solution

The fourth proportional to 111.16, 166.86 and 70.66 is: 106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 166.86 = 70.66 : x
  2. Step 2: Convert to fraction form
    111.16/166.86 = 70.66/x
  3. Step 3: Cross multiply
    111.16x = 166.86 × 70.66
  4. Step 4: Simplify right side
    111.16x = 11,790.33
  5. Step 5: Solve for x
    x = 11,790.33/111.16
  6. Step 6: Final answer
    x = 106.07

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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.