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Finding the Fourth Proportional to 125.97, 174.02 and 119.90

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Solution

The fourth proportional to 125.97, 174.02 and 119.90 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 174.02 = 119.90 : x
  2. Step 2: Convert to fraction form
    125.97/174.02 = 119.90/x
  3. Step 3: Cross multiply
    125.97x = 174.02 × 119.90
  4. Step 4: Simplify right side
    125.97x = 20,864.13
  5. Step 5: Solve for x
    x = 20,864.13/125.97
  6. Step 6: Final answer
    x = 165.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.