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Finding the Fourth Proportional to 154, 231 and 67.42

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Solution

The fourth proportional to 154, 231 and 67.42 is: 101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 231 = 67.42 : x
  2. Step 2: Convert to fraction form
    154/231 = 67.42/x
  3. Step 3: Cross multiply
    154x = 231 × 67.42
  4. Step 4: Simplify right side
    154x = 15,574.02
  5. Step 5: Solve for x
    x = 15,574.02/154
  6. Step 6: Final answer
    x = 101.13

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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.