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Finding the Fourth Proportional to 120, 165.59 and 67.54

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Solution

The fourth proportional to 120, 165.59 and 67.54 is: 93.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.59 = 67.54 : x
  2. Step 2: Convert to fraction form
    120/165.59 = 67.54/x
  3. Step 3: Cross multiply
    120x = 165.59 × 67.54
  4. Step 4: Simplify right side
    120x = 11,183.95
  5. Step 5: Solve for x
    x = 11,183.95/120
  6. Step 6: Final answer
    x = 93.20

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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.