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Finding the Fourth Proportional to 110.82, 166.40 and 105.32

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Solution

The fourth proportional to 110.82, 166.40 and 105.32 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 166.40 = 105.32 : x
  2. Step 2: Convert to fraction form
    110.82/166.40 = 105.32/x
  3. Step 3: Cross multiply
    110.82x = 166.40 × 105.32
  4. Step 4: Simplify right side
    110.82x = 17,525.25
  5. Step 5: Solve for x
    x = 17,525.25/110.82
  6. Step 6: Final answer
    x = 158.14

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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.