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Finding the Fourth Proportional to 106.62, 146.81 and 89.96

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Solution

The fourth proportional to 106.62, 146.81 and 89.96 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 146.81 = 89.96 : x
  2. Step 2: Convert to fraction form
    106.62/146.81 = 89.96/x
  3. Step 3: Cross multiply
    106.62x = 146.81 × 89.96
  4. Step 4: Simplify right side
    106.62x = 13,207.34
  5. Step 5: Solve for x
    x = 13,207.34/106.62
  6. Step 6: Final answer
    x = 123.88

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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.