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Finding the Fourth Proportional to 79.48, 119.20 and 33.88

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Solution

The fourth proportional to 79.48, 119.20 and 33.88 is: 50.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.48 : 119.20 = 33.88 : x
  2. Step 2: Convert to fraction form
    79.48/119.20 = 33.88/x
  3. Step 3: Cross multiply
    79.48x = 119.20 × 33.88
  4. Step 4: Simplify right side
    79.48x = 4,038.50
  5. Step 5: Solve for x
    x = 4,038.50/79.48
  6. Step 6: Final answer
    x = 50.81

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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.