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Finding the Fourth Proportional to 120, 165.36 and 106.20

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Solution

The fourth proportional to 120, 165.36 and 106.20 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.36 = 106.20 : x
  2. Step 2: Convert to fraction form
    120/165.36 = 106.20/x
  3. Step 3: Cross multiply
    120x = 165.36 × 106.20
  4. Step 4: Simplify right side
    120x = 17,561.23
  5. Step 5: Solve for x
    x = 17,561.23/120
  6. Step 6: Final answer
    x = 146.34

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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.