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Finding the Fourth Proportional to 106.49, 146.85 and 78.77

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Solution

The fourth proportional to 106.49, 146.85 and 78.77 is: 108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 146.85 = 78.77 : x
  2. Step 2: Convert to fraction form
    106.49/146.85 = 78.77/x
  3. Step 3: Cross multiply
    106.49x = 146.85 × 78.77
  4. Step 4: Simplify right side
    106.49x = 11,567.37
  5. Step 5: Solve for x
    x = 11,567.37/106.49
  6. Step 6: Final answer
    x = 108.62

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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.