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Finding the Fourth Proportional to 119.80, 179.67 and 51.32

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Solution

The fourth proportional to 119.80, 179.67 and 51.32 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 179.67 = 51.32 : x
  2. Step 2: Convert to fraction form
    119.80/179.67 = 51.32/x
  3. Step 3: Cross multiply
    119.80x = 179.67 × 51.32
  4. Step 4: Simplify right side
    119.80x = 9,220.01
  5. Step 5: Solve for x
    x = 9,220.01/119.80
  6. Step 6: Final answer
    x = 76.96

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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.