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Finding the Fourth Proportional to 106.40, 146.89 and 83.04

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Solution

The fourth proportional to 106.40, 146.89 and 83.04 is: 114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.40 : 146.89 = 83.04 : x
  2. Step 2: Convert to fraction form
    106.40/146.89 = 83.04/x
  3. Step 3: Cross multiply
    106.40x = 146.89 × 83.04
  4. Step 4: Simplify right side
    106.40x = 12,197.30
  5. Step 5: Solve for x
    x = 12,197.30/106.40
  6. Step 6: Final answer
    x = 114.63

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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.