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Finding the Fourth Proportional to 102.13, 153.02 and 81.97

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Solution

The fourth proportional to 102.13, 153.02 and 81.97 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 153.02 = 81.97 : x
  2. Step 2: Convert to fraction form
    102.13/153.02 = 81.97/x
  3. Step 3: Cross multiply
    102.13x = 153.02 × 81.97
  4. Step 4: Simplify right side
    102.13x = 12,542.28
  5. Step 5: Solve for x
    x = 12,542.28/102.13
  6. Step 6: Final answer
    x = 122.81

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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.