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Finding the Fourth Proportional to 106.48, 146.90 and 78.80

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Solution

The fourth proportional to 106.48, 146.90 and 78.80 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 146.90 = 78.80 : x
  2. Step 2: Convert to fraction form
    106.48/146.90 = 78.80/x
  3. Step 3: Cross multiply
    106.48x = 146.90 × 78.80
  4. Step 4: Simplify right side
    106.48x = 11,575.33
  5. Step 5: Solve for x
    x = 11,575.33/106.48
  6. Step 6: Final answer
    x = 108.71

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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.