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Finding the Fourth Proportional to 154.42, 213.02 and 102.68

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Solution

The fourth proportional to 154.42, 213.02 and 102.68 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.42 : 213.02 = 102.68 : x
  2. Step 2: Convert to fraction form
    154.42/213.02 = 102.68/x
  3. Step 3: Cross multiply
    154.42x = 213.02 × 102.68
  4. Step 4: Simplify right side
    154.42x = 21,872.89
  5. Step 5: Solve for x
    x = 21,872.89/154.42
  6. Step 6: Final answer
    x = 141.65

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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.