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Finding the Fourth Proportional to 106.17, 146.37 and 82.86

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Solution

The fourth proportional to 106.17, 146.37 and 82.86 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.17 : 146.37 = 82.86 : x
  2. Step 2: Convert to fraction form
    106.17/146.37 = 82.86/x
  3. Step 3: Cross multiply
    106.17x = 146.37 × 82.86
  4. Step 4: Simplify right side
    106.17x = 12,128.22
  5. Step 5: Solve for x
    x = 12,128.22/106.17
  6. Step 6: Final answer
    x = 114.23

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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.