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Finding the Fourth Proportional to 125.68, 187.25 and 119.56

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Solution

The fourth proportional to 125.68, 187.25 and 119.56 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.68 : 187.25 = 119.56 : x
  2. Step 2: Convert to fraction form
    125.68/187.25 = 119.56/x
  3. Step 3: Cross multiply
    125.68x = 187.25 × 119.56
  4. Step 4: Simplify right side
    125.68x = 22,387.61
  5. Step 5: Solve for x
    x = 22,387.61/125.68
  6. Step 6: Final answer
    x = 178.13

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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.