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Finding the Fourth Proportional to 106.86, 147.38 and 82.25

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Solution

The fourth proportional to 106.86, 147.38 and 82.25 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 147.38 = 82.25 : x
  2. Step 2: Convert to fraction form
    106.86/147.38 = 82.25/x
  3. Step 3: Cross multiply
    106.86x = 147.38 × 82.25
  4. Step 4: Simplify right side
    106.86x = 12,122.01
  5. Step 5: Solve for x
    x = 12,122.01/106.86
  6. Step 6: Final answer
    x = 113.44

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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.