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Finding the Fourth Proportional to 125.38, 188.41 and 109.51

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Solution

The fourth proportional to 125.38, 188.41 and 109.51 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.38 : 188.41 = 109.51 : x
  2. Step 2: Convert to fraction form
    125.38/188.41 = 109.51/x
  3. Step 3: Cross multiply
    125.38x = 188.41 × 109.51
  4. Step 4: Simplify right side
    125.38x = 20,631.97
  5. Step 5: Solve for x
    x = 20,631.97/125.38
  6. Step 6: Final answer
    x = 164.56

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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.