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Finding the Fourth Proportional to 102.92, 155.28 and 102.11

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Solution

The fourth proportional to 102.92, 155.28 and 102.11 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 155.28 = 102.11 : x
  2. Step 2: Convert to fraction form
    102.92/155.28 = 102.11/x
  3. Step 3: Cross multiply
    102.92x = 155.28 × 102.11
  4. Step 4: Simplify right side
    102.92x = 15,855.25
  5. Step 5: Solve for x
    x = 15,855.25/102.92
  6. Step 6: Final answer
    x = 154.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.