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Finding the Fourth Proportional to 102.78, 154.10 and 34.27

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Solution

The fourth proportional to 102.78, 154.10 and 34.27 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 154.10 = 34.27 : x
  2. Step 2: Convert to fraction form
    102.78/154.10 = 34.27/x
  3. Step 3: Cross multiply
    102.78x = 154.10 × 34.27
  4. Step 4: Simplify right side
    102.78x = 5,280.71
  5. Step 5: Solve for x
    x = 5,280.71/102.78
  6. Step 6: Final answer
    x = 51.38

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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.