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Finding the Fourth Proportional to 154.78, 213.82 and 118.13

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Solution

The fourth proportional to 154.78, 213.82 and 118.13 is: 163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 213.82 = 118.13 : x
  2. Step 2: Convert to fraction form
    154.78/213.82 = 118.13/x
  3. Step 3: Cross multiply
    154.78x = 213.82 × 118.13
  4. Step 4: Simplify right side
    154.78x = 25,257.19
  5. Step 5: Solve for x
    x = 25,257.19/154.78
  6. Step 6: Final answer
    x = 163.18

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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.