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Finding the Fourth Proportional to 119.67, 178.93 and 116.79

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Solution

The fourth proportional to 119.67, 178.93 and 116.79 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.67 : 178.93 = 116.79 : x
  2. Step 2: Convert to fraction form
    119.67/178.93 = 116.79/x
  3. Step 3: Cross multiply
    119.67x = 178.93 × 116.79
  4. Step 4: Simplify right side
    119.67x = 20,897.23
  5. Step 5: Solve for x
    x = 20,897.23/119.67
  6. Step 6: Final answer
    x = 174.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.