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Finding the Fourth Proportional to 125.20, 186.76 and 120.08

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Solution

The fourth proportional to 125.20, 186.76 and 120.08 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.20 : 186.76 = 120.08 : x
  2. Step 2: Convert to fraction form
    125.20/186.76 = 120.08/x
  3. Step 3: Cross multiply
    125.20x = 186.76 × 120.08
  4. Step 4: Simplify right side
    125.20x = 22,426.14
  5. Step 5: Solve for x
    x = 22,426.14/125.20
  6. Step 6: Final answer
    x = 179.12

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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.