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Finding the Fourth Proportional to 118.14, 177 and 90.96

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Solution

The fourth proportional to 118.14, 177 and 90.96 is: 136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 177 = 90.96 : x
  2. Step 2: Convert to fraction form
    118.14/177 = 90.96/x
  3. Step 3: Cross multiply
    118.14x = 177 × 90.96
  4. Step 4: Simplify right side
    118.14x = 16,099.92
  5. Step 5: Solve for x
    x = 16,099.92/118.14
  6. Step 6: Final answer
    x = 136.28

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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.