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Finding the Fourth Proportional to 120, 165.68 and 74.08

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Solution

The fourth proportional to 120, 165.68 and 74.08 is: 102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.68 = 74.08 : x
  2. Step 2: Convert to fraction form
    120/165.68 = 74.08/x
  3. Step 3: Cross multiply
    120x = 165.68 × 74.08
  4. Step 4: Simplify right side
    120x = 12,273.57
  5. Step 5: Solve for x
    x = 12,273.57/120
  6. Step 6: Final answer
    x = 102.28

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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.