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Finding the Fourth Proportional to 102.77, 154.16 and 34.29

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Solution

The fourth proportional to 102.77, 154.16 and 34.29 is: 51.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 154.16 = 34.29 : x
  2. Step 2: Convert to fraction form
    102.77/154.16 = 34.29/x
  3. Step 3: Cross multiply
    102.77x = 154.16 × 34.29
  4. Step 4: Simplify right side
    102.77x = 5,285.97
  5. Step 5: Solve for x
    x = 5,285.97/102.77
  6. Step 6: Final answer
    x = 51.44

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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.