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Finding the Fourth Proportional to 79.90, 119.03 and 75.24

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Solution

The fourth proportional to 79.90, 119.03 and 75.24 is: 112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.90 : 119.03 = 75.24 : x
  2. Step 2: Convert to fraction form
    79.90/119.03 = 75.24/x
  3. Step 3: Cross multiply
    79.90x = 119.03 × 75.24
  4. Step 4: Simplify right side
    79.90x = 8,955.44
  5. Step 5: Solve for x
    x = 8,955.44/79.90
  6. Step 6: Final answer
    x = 112.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.