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Finding the Fourth Proportional to 106.43, 146.65 and 100.94

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Solution

The fourth proportional to 106.43, 146.65 and 100.94 is: 139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.43 : 146.65 = 100.94 : x
  2. Step 2: Convert to fraction form
    106.43/146.65 = 100.94/x
  3. Step 3: Cross multiply
    106.43x = 146.65 × 100.94
  4. Step 4: Simplify right side
    106.43x = 14,802.85
  5. Step 5: Solve for x
    x = 14,802.85/106.43
  6. Step 6: Final answer
    x = 139.09

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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.