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Finding the Fourth Proportional to 110.80, 166.12 and 42.29

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Solution

The fourth proportional to 110.80, 166.12 and 42.29 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 166.12 = 42.29 : x
  2. Step 2: Convert to fraction form
    110.80/166.12 = 42.29/x
  3. Step 3: Cross multiply
    110.80x = 166.12 × 42.29
  4. Step 4: Simplify right side
    110.80x = 7,025.11
  5. Step 5: Solve for x
    x = 7,025.11/110.80
  6. Step 6: Final answer
    x = 63.41

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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.