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Finding the Fourth Proportional to 110.40, 166.44 and 109.02

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Solution

The fourth proportional to 110.40, 166.44 and 109.02 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 166.44 = 109.02 : x
  2. Step 2: Convert to fraction form
    110.40/166.44 = 109.02/x
  3. Step 3: Cross multiply
    110.40x = 166.44 × 109.02
  4. Step 4: Simplify right side
    110.40x = 18,145.29
  5. Step 5: Solve for x
    x = 18,145.29/110.40
  6. Step 6: Final answer
    x = 164.36

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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.