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Finding the Fourth Proportional to 118.80, 178.42 and 71

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Solution

The fourth proportional to 118.80, 178.42 and 71 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 178.42 = 71 : x
  2. Step 2: Convert to fraction form
    118.80/178.42 = 71/x
  3. Step 3: Cross multiply
    118.80x = 178.42 × 71
  4. Step 4: Simplify right side
    118.80x = 12,667.82
  5. Step 5: Solve for x
    x = 12,667.82/118.80
  6. Step 6: Final answer
    x = 106.63

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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.