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Finding the Fourth Proportional to 110.10, 166.17 and 110.10

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Solution

The fourth proportional to 110.10, 166.17 and 110.10 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 166.17 = 110.10 : x
  2. Step 2: Convert to fraction form
    110.10/166.17 = 110.10/x
  3. Step 3: Cross multiply
    110.10x = 166.17 × 110.10
  4. Step 4: Simplify right side
    110.10x = 18,295.32
  5. Step 5: Solve for x
    x = 18,295.32/110.10
  6. Step 6: Final answer
    x = 166.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.