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Finding the Fourth Proportional to 125.28, 188.82 and 119.88

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Solution

The fourth proportional to 125.28, 188.82 and 119.88 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.28 : 188.82 = 119.88 : x
  2. Step 2: Convert to fraction form
    125.28/188.82 = 119.88/x
  3. Step 3: Cross multiply
    125.28x = 188.82 × 119.88
  4. Step 4: Simplify right side
    125.28x = 22,635.74
  5. Step 5: Solve for x
    x = 22,635.74/125.28
  6. Step 6: Final answer
    x = 180.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.