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Finding the Fourth Proportional to 118.67, 178.11 and 73.10

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Solution

The fourth proportional to 118.67, 178.11 and 73.10 is: 109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.67 : 178.11 = 73.10 : x
  2. Step 2: Convert to fraction form
    118.67/178.11 = 73.10/x
  3. Step 3: Cross multiply
    118.67x = 178.11 × 73.10
  4. Step 4: Simplify right side
    118.67x = 13,020.29
  5. Step 5: Solve for x
    x = 13,020.29/118.67
  6. Step 6: Final answer
    x = 109.72

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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.