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Finding the Fourth Proportional to 118.64, 178.71 and 105.95

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Solution

The fourth proportional to 118.64, 178.71 and 105.95 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 178.71 = 105.95 : x
  2. Step 2: Convert to fraction form
    118.64/178.71 = 105.95/x
  3. Step 3: Cross multiply
    118.64x = 178.71 × 105.95
  4. Step 4: Simplify right side
    118.64x = 18,934.97
  5. Step 5: Solve for x
    x = 18,934.97/118.64
  6. Step 6: Final answer
    x = 159.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.