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Finding the Fourth Proportional to 79.50, 119.24 and 30.75

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Solution

The fourth proportional to 79.50, 119.24 and 30.75 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 119.24 = 30.75 : x
  2. Step 2: Convert to fraction form
    79.50/119.24 = 30.75/x
  3. Step 3: Cross multiply
    79.50x = 119.24 × 30.75
  4. Step 4: Simplify right side
    79.50x = 3,666.48
  5. Step 5: Solve for x
    x = 3,666.48/79.50
  6. Step 6: Final answer
    x = 46.12

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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.