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Finding the Fourth Proportional to 77.09, 106.39 and 42.12

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Solution

The fourth proportional to 77.09, 106.39 and 42.12 is: 58.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.39 = 42.12 : x
  2. Step 2: Convert to fraction form
    77.09/106.39 = 42.12/x
  3. Step 3: Cross multiply
    77.09x = 106.39 × 42.12
  4. Step 4: Simplify right side
    77.09x = 4,481.04
  5. Step 5: Solve for x
    x = 4,481.04/77.09
  6. Step 6: Final answer
    x = 58.13

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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.