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Finding the Fourth Proportional to 102.05, 140.77 and 77.41

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Solution

The fourth proportional to 102.05, 140.77 and 77.41 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.05 : 140.77 = 77.41 : x
  2. Step 2: Convert to fraction form
    102.05/140.77 = 77.41/x
  3. Step 3: Cross multiply
    102.05x = 140.77 × 77.41
  4. Step 4: Simplify right side
    102.05x = 10,897.01
  5. Step 5: Solve for x
    x = 10,897.01/102.05
  6. Step 6: Final answer
    x = 106.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.