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Finding the Fourth Proportional to 125.67, 173.31 and 96.17

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Solution

The fourth proportional to 125.67, 173.31 and 96.17 is: 132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.67 : 173.31 = 96.17 : x
  2. Step 2: Convert to fraction form
    125.67/173.31 = 96.17/x
  3. Step 3: Cross multiply
    125.67x = 173.31 × 96.17
  4. Step 4: Simplify right side
    125.67x = 16,666.36
  5. Step 5: Solve for x
    x = 16,666.36/125.67
  6. Step 6: Final answer
    x = 132.62

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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.