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Finding the Fourth Proportional to 119.82, 178.54 and 115.94

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Solution

The fourth proportional to 119.82, 178.54 and 115.94 is: 172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 178.54 = 115.94 : x
  2. Step 2: Convert to fraction form
    119.82/178.54 = 115.94/x
  3. Step 3: Cross multiply
    119.82x = 178.54 × 115.94
  4. Step 4: Simplify right side
    119.82x = 20,699.93
  5. Step 5: Solve for x
    x = 20,699.93/119.82
  6. Step 6: Final answer
    x = 172.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.