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Finding the Fourth Proportional to 111.06, 166.70 and 89.41

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Solution

The fourth proportional to 111.06, 166.70 and 89.41 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 166.70 = 89.41 : x
  2. Step 2: Convert to fraction form
    111.06/166.70 = 89.41/x
  3. Step 3: Cross multiply
    111.06x = 166.70 × 89.41
  4. Step 4: Simplify right side
    111.06x = 14,904.65
  5. Step 5: Solve for x
    x = 14,904.65/111.06
  6. Step 6: Final answer
    x = 134.20

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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.