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Finding the Fourth Proportional to 102.05, 153.12 and 67.83

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Solution

The fourth proportional to 102.05, 153.12 and 67.83 is: 101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.05 : 153.12 = 67.83 : x
  2. Step 2: Convert to fraction form
    102.05/153.12 = 67.83/x
  3. Step 3: Cross multiply
    102.05x = 153.12 × 67.83
  4. Step 4: Simplify right side
    102.05x = 10,386.13
  5. Step 5: Solve for x
    x = 10,386.13/102.05
  6. Step 6: Final answer
    x = 101.78

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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.