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Finding the Fourth Proportional to 154.43, 231.66 and 67.76

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Solution

The fourth proportional to 154.43, 231.66 and 67.76 is: 101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 231.66 = 67.76 : x
  2. Step 2: Convert to fraction form
    154.43/231.66 = 67.76/x
  3. Step 3: Cross multiply
    154.43x = 231.66 × 67.76
  4. Step 4: Simplify right side
    154.43x = 15,696.12
  5. Step 5: Solve for x
    x = 15,696.12/154.43
  6. Step 6: Final answer
    x = 101.64

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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.