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Finding the Fourth Proportional to 106.46, 146.67 and 100.34

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Solution

The fourth proportional to 106.46, 146.67 and 100.34 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 146.67 = 100.34 : x
  2. Step 2: Convert to fraction form
    106.46/146.67 = 100.34/x
  3. Step 3: Cross multiply
    106.46x = 146.67 × 100.34
  4. Step 4: Simplify right side
    106.46x = 14,716.87
  5. Step 5: Solve for x
    x = 14,716.87/106.46
  6. Step 6: Final answer
    x = 138.24

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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.