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Finding the Fourth Proportional to 120, 179.94 and 89.58

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Solution

The fourth proportional to 120, 179.94 and 89.58 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 179.94 = 89.58 : x
  2. Step 2: Convert to fraction form
    120/179.94 = 89.58/x
  3. Step 3: Cross multiply
    120x = 179.94 × 89.58
  4. Step 4: Simplify right side
    120x = 16,119.03
  5. Step 5: Solve for x
    x = 16,119.03/120
  6. Step 6: Final answer
    x = 134.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.