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Finding the Fourth Proportional to 106.23, 146.66 and 82.88

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Solution

The fourth proportional to 106.23, 146.66 and 82.88 is: 114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 146.66 = 82.88 : x
  2. Step 2: Convert to fraction form
    106.23/146.66 = 82.88/x
  3. Step 3: Cross multiply
    106.23x = 146.66 × 82.88
  4. Step 4: Simplify right side
    106.23x = 12,154.03
  5. Step 5: Solve for x
    x = 12,154.03/106.23
  6. Step 6: Final answer
    x = 114.41

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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.