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Finding the Fourth Proportional to 106.89, 146.63 and 100.68

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Solution

The fourth proportional to 106.89, 146.63 and 100.68 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 146.63 = 100.68 : x
  2. Step 2: Convert to fraction form
    106.89/146.63 = 100.68/x
  3. Step 3: Cross multiply
    106.89x = 146.63 × 100.68
  4. Step 4: Simplify right side
    106.89x = 14,762.71
  5. Step 5: Solve for x
    x = 14,762.71/106.89
  6. Step 6: Final answer
    x = 138.11

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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.