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Finding the Fourth Proportional to 118.86, 164.79 and 117.15

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Solution

The fourth proportional to 118.86, 164.79 and 117.15 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.86 : 164.79 = 117.15 : x
  2. Step 2: Convert to fraction form
    118.86/164.79 = 117.15/x
  3. Step 3: Cross multiply
    118.86x = 164.79 × 117.15
  4. Step 4: Simplify right side
    118.86x = 19,305.15
  5. Step 5: Solve for x
    x = 19,305.15/118.86
  6. Step 6: Final answer
    x = 162.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.