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Finding the Fourth Proportional to 118.64, 178.02 and 54.50

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Solution

The fourth proportional to 118.64, 178.02 and 54.50 is: 81.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 178.02 = 54.50 : x
  2. Step 2: Convert to fraction form
    118.64/178.02 = 54.50/x
  3. Step 3: Cross multiply
    118.64x = 178.02 × 54.50
  4. Step 4: Simplify right side
    118.64x = 9,702.09
  5. Step 5: Solve for x
    x = 9,702.09/118.64
  6. Step 6: Final answer
    x = 81.78

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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.