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Finding the Fourth Proportional to 102.54, 153.83 and 34.09

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Solution

The fourth proportional to 102.54, 153.83 and 34.09 is: 51.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 153.83 = 34.09 : x
  2. Step 2: Convert to fraction form
    102.54/153.83 = 34.09/x
  3. Step 3: Cross multiply
    102.54x = 153.83 × 34.09
  4. Step 4: Simplify right side
    102.54x = 5,243.77
  5. Step 5: Solve for x
    x = 5,243.77/102.54
  6. Step 6: Final answer
    x = 51.14

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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.