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Finding the Fourth Proportional to 106.30, 146.78 and 85.74

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Solution

The fourth proportional to 106.30, 146.78 and 85.74 is: 118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 146.78 = 85.74 : x
  2. Step 2: Convert to fraction form
    106.30/146.78 = 85.74/x
  3. Step 3: Cross multiply
    106.30x = 146.78 × 85.74
  4. Step 4: Simplify right side
    106.30x = 12,584.92
  5. Step 5: Solve for x
    x = 12,584.92/106.30
  6. Step 6: Final answer
    x = 118.39

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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.