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Finding the Fourth Proportional to 106.58, 146.97 and 85.92

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Solution

The fourth proportional to 106.58, 146.97 and 85.92 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 146.97 = 85.92 : x
  2. Step 2: Convert to fraction form
    106.58/146.97 = 85.92/x
  3. Step 3: Cross multiply
    106.58x = 146.97 × 85.92
  4. Step 4: Simplify right side
    106.58x = 12,627.66
  5. Step 5: Solve for x
    x = 12,627.66/106.58
  6. Step 6: Final answer
    x = 118.49

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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.