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Finding the Fourth Proportional to 167.07, 230.58 and 125.83

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Solution

The fourth proportional to 167.07, 230.58 and 125.83 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.07 : 230.58 = 125.83 : x
  2. Step 2: Convert to fraction form
    167.07/230.58 = 125.83/x
  3. Step 3: Cross multiply
    167.07x = 230.58 × 125.83
  4. Step 4: Simplify right side
    167.07x = 29,014.17
  5. Step 5: Solve for x
    x = 29,014.17/167.07
  6. Step 6: Final answer
    x = 173.66

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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.