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Finding the Fourth Proportional to 118.96, 164.30 and 87.83

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Solution

The fourth proportional to 118.96, 164.30 and 87.83 is: 121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.96 : 164.30 = 87.83 : x
  2. Step 2: Convert to fraction form
    118.96/164.30 = 87.83/x
  3. Step 3: Cross multiply
    118.96x = 164.30 × 87.83
  4. Step 4: Simplify right side
    118.96x = 14,430.47
  5. Step 5: Solve for x
    x = 14,430.47/118.96
  6. Step 6: Final answer
    x = 121.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.