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Finding the Fourth Proportional to 120, 179.88 and 79.52

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Solution

The fourth proportional to 120, 179.88 and 79.52 is: 119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 179.88 = 79.52 : x
  2. Step 2: Convert to fraction form
    120/179.88 = 79.52/x
  3. Step 3: Cross multiply
    120x = 179.88 × 79.52
  4. Step 4: Simplify right side
    120x = 14,304.06
  5. Step 5: Solve for x
    x = 14,304.06/120
  6. Step 6: Final answer
    x = 119.20

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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.