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Finding the Fourth Proportional to 125.22, 186.87 and 110.04

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Solution

The fourth proportional to 125.22, 186.87 and 110.04 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.22 : 186.87 = 110.04 : x
  2. Step 2: Convert to fraction form
    125.22/186.87 = 110.04/x
  3. Step 3: Cross multiply
    125.22x = 186.87 × 110.04
  4. Step 4: Simplify right side
    125.22x = 20,562.78
  5. Step 5: Solve for x
    x = 20,562.78/125.22
  6. Step 6: Final answer
    x = 164.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.