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Finding the Fourth Proportional to 80.02, 119.23 and 74.50

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Solution

The fourth proportional to 80.02, 119.23 and 74.50 is: 111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 119.23 = 74.50 : x
  2. Step 2: Convert to fraction form
    80.02/119.23 = 74.50/x
  3. Step 3: Cross multiply
    80.02x = 119.23 × 74.50
  4. Step 4: Simplify right side
    80.02x = 8,882.26
  5. Step 5: Solve for x
    x = 8,882.26/80.02
  6. Step 6: Final answer
    x = 111.00

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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.