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Finding the Fourth Proportional to 106.57, 146.87 and 77.41

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Solution

The fourth proportional to 106.57, 146.87 and 77.41 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.57 : 146.87 = 77.41 : x
  2. Step 2: Convert to fraction form
    106.57/146.87 = 77.41/x
  3. Step 3: Cross multiply
    106.57x = 146.87 × 77.41
  4. Step 4: Simplify right side
    106.57x = 11,369.21
  5. Step 5: Solve for x
    x = 11,369.21/106.57
  6. Step 6: Final answer
    x = 106.68

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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.