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Finding the Fourth Proportional to 119.68, 165.30 and 106

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Solution

The fourth proportional to 119.68, 165.30 and 106 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.68 : 165.30 = 106 : x
  2. Step 2: Convert to fraction form
    119.68/165.30 = 106/x
  3. Step 3: Cross multiply
    119.68x = 165.30 × 106
  4. Step 4: Simplify right side
    119.68x = 17,521.80
  5. Step 5: Solve for x
    x = 17,521.80/119.68
  6. Step 6: Final answer
    x = 146.41

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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.