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Finding the Fourth Proportional to 106.81, 146.61 and 100.67

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Solution

The fourth proportional to 106.81, 146.61 and 100.67 is: 138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 146.61 = 100.67 : x
  2. Step 2: Convert to fraction form
    106.81/146.61 = 100.67/x
  3. Step 3: Cross multiply
    106.81x = 146.61 × 100.67
  4. Step 4: Simplify right side
    106.81x = 14,758.50
  5. Step 5: Solve for x
    x = 14,758.50/106.81
  6. Step 6: Final answer
    x = 138.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.