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Finding the Fourth Proportional to 125.22, 186.81 and 113.76

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Solution

The fourth proportional to 125.22, 186.81 and 113.76 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.22 : 186.81 = 113.76 : x
  2. Step 2: Convert to fraction form
    125.22/186.81 = 113.76/x
  3. Step 3: Cross multiply
    125.22x = 186.81 × 113.76
  4. Step 4: Simplify right side
    125.22x = 21,251.51
  5. Step 5: Solve for x
    x = 21,251.51/125.22
  6. Step 6: Final answer
    x = 169.71

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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.