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Finding the Fourth Proportional to 106.53, 146.92 and 82.03

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Solution

The fourth proportional to 106.53, 146.92 and 82.03 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.53 : 146.92 = 82.03 : x
  2. Step 2: Convert to fraction form
    106.53/146.92 = 82.03/x
  3. Step 3: Cross multiply
    106.53x = 146.92 × 82.03
  4. Step 4: Simplify right side
    106.53x = 12,051.85
  5. Step 5: Solve for x
    x = 12,051.85/106.53
  6. Step 6: Final answer
    x = 113.13

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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.