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Finding the Fourth Proportional to 118.89, 178.34 and 32.23

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Solution

The fourth proportional to 118.89, 178.34 and 32.23 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 178.34 = 32.23 : x
  2. Step 2: Convert to fraction form
    118.89/178.34 = 32.23/x
  3. Step 3: Cross multiply
    118.89x = 178.34 × 32.23
  4. Step 4: Simplify right side
    118.89x = 5,747.53
  5. Step 5: Solve for x
    x = 5,747.53/118.89
  6. Step 6: Final answer
    x = 48.34

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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.