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Finding the Fourth Proportional to 106.54, 146.66 and 85.66

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Solution

The fourth proportional to 106.54, 146.66 and 85.66 is: 117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.66 = 85.66 : x
  2. Step 2: Convert to fraction form
    106.54/146.66 = 85.66/x
  3. Step 3: Cross multiply
    106.54x = 146.66 × 85.66
  4. Step 4: Simplify right side
    106.54x = 12,562.90
  5. Step 5: Solve for x
    x = 12,562.90/106.54
  6. Step 6: Final answer
    x = 117.92

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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.