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Finding the Fourth Proportional to 110.20, 166.13 and 105.40

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Solution

The fourth proportional to 110.20, 166.13 and 105.40 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.20 : 166.13 = 105.40 : x
  2. Step 2: Convert to fraction form
    110.20/166.13 = 105.40/x
  3. Step 3: Cross multiply
    110.20x = 166.13 × 105.40
  4. Step 4: Simplify right side
    110.20x = 17,510.10
  5. Step 5: Solve for x
    x = 17,510.10/110.20
  6. Step 6: Final answer
    x = 158.89

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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.