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Finding the Fourth Proportional to 119.42, 178.78 and 110.31

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Solution

The fourth proportional to 119.42, 178.78 and 110.31 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.42 : 178.78 = 110.31 : x
  2. Step 2: Convert to fraction form
    119.42/178.78 = 110.31/x
  3. Step 3: Cross multiply
    119.42x = 178.78 × 110.31
  4. Step 4: Simplify right side
    119.42x = 19,721.80
  5. Step 5: Solve for x
    x = 19,721.80/119.42
  6. Step 6: Final answer
    x = 165.14

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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.