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Finding the Fourth Proportional to 118.97, 178.63 and 75.91

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Solution

The fourth proportional to 118.97, 178.63 and 75.91 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.97 : 178.63 = 75.91 : x
  2. Step 2: Convert to fraction form
    118.97/178.63 = 75.91/x
  3. Step 3: Cross multiply
    118.97x = 178.63 × 75.91
  4. Step 4: Simplify right side
    118.97x = 13,559.17
  5. Step 5: Solve for x
    x = 13,559.17/118.97
  6. Step 6: Final answer
    x = 113.97

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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.