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Finding the Fourth Proportional to 118.84, 178.38 and 110.74

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Solution

The fourth proportional to 118.84, 178.38 and 110.74 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 178.38 = 110.74 : x
  2. Step 2: Convert to fraction form
    118.84/178.38 = 110.74/x
  3. Step 3: Cross multiply
    118.84x = 178.38 × 110.74
  4. Step 4: Simplify right side
    118.84x = 19,753.80
  5. Step 5: Solve for x
    x = 19,753.80/118.84
  6. Step 6: Final answer
    x = 166.22

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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.