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Finding the Fourth Proportional to 154.97, 232.42 and 68.24

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Solution

The fourth proportional to 154.97, 232.42 and 68.24 is: 102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 232.42 = 68.24 : x
  2. Step 2: Convert to fraction form
    154.97/232.42 = 68.24/x
  3. Step 3: Cross multiply
    154.97x = 232.42 × 68.24
  4. Step 4: Simplify right side
    154.97x = 15,860.34
  5. Step 5: Solve for x
    x = 15,860.34/154.97
  6. Step 6: Final answer
    x = 102.34

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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.