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Finding the Fourth Proportional to 118.13, 162.96 and 79.25

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Solution

The fourth proportional to 118.13, 162.96 and 79.25 is: 109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.13 : 162.96 = 79.25 : x
  2. Step 2: Convert to fraction form
    118.13/162.96 = 79.25/x
  3. Step 3: Cross multiply
    118.13x = 162.96 × 79.25
  4. Step 4: Simplify right side
    118.13x = 12,914.58
  5. Step 5: Solve for x
    x = 12,914.58/118.13
  6. Step 6: Final answer
    x = 109.33

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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.