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Finding the Fourth Proportional to 118.19, 176.81 and 90.86

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Solution

The fourth proportional to 118.19, 176.81 and 90.86 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.19 : 176.81 = 90.86 : x
  2. Step 2: Convert to fraction form
    118.19/176.81 = 90.86/x
  3. Step 3: Cross multiply
    118.19x = 176.81 × 90.86
  4. Step 4: Simplify right side
    118.19x = 16,063.62
  5. Step 5: Solve for x
    x = 16,063.62/118.19
  6. Step 6: Final answer
    x = 135.91

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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.