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Finding the Fourth Proportional to 154.67, 213.14 and 102.15

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Solution

The fourth proportional to 154.67, 213.14 and 102.15 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 213.14 = 102.15 : x
  2. Step 2: Convert to fraction form
    154.67/213.14 = 102.15/x
  3. Step 3: Cross multiply
    154.67x = 213.14 × 102.15
  4. Step 4: Simplify right side
    154.67x = 21,772.25
  5. Step 5: Solve for x
    x = 21,772.25/154.67
  6. Step 6: Final answer
    x = 140.77

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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.