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Finding the Fourth Proportional to 125.78, 173.14 and 108.51

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Solution

The fourth proportional to 125.78, 173.14 and 108.51 is: 149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.78 : 173.14 = 108.51 : x
  2. Step 2: Convert to fraction form
    125.78/173.14 = 108.51/x
  3. Step 3: Cross multiply
    125.78x = 173.14 × 108.51
  4. Step 4: Simplify right side
    125.78x = 18,787.96
  5. Step 5: Solve for x
    x = 18,787.96/125.78
  6. Step 6: Final answer
    x = 149.37

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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.