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Finding the Fourth Proportional to 118.62, 178.01 and 77.51

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Solution

The fourth proportional to 118.62, 178.01 and 77.51 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 178.01 = 77.51 : x
  2. Step 2: Convert to fraction form
    118.62/178.01 = 77.51/x
  3. Step 3: Cross multiply
    118.62x = 178.01 × 77.51
  4. Step 4: Simplify right side
    118.62x = 13,797.56
  5. Step 5: Solve for x
    x = 13,797.56/118.62
  6. Step 6: Final answer
    x = 116.32

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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.