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Finding the Fourth Proportional to 80.54, 119.79 and 79.01

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Solution

The fourth proportional to 80.54, 119.79 and 79.01 is: 117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 119.79 = 79.01 : x
  2. Step 2: Convert to fraction form
    80.54/119.79 = 79.01/x
  3. Step 3: Cross multiply
    80.54x = 119.79 × 79.01
  4. Step 4: Simplify right side
    80.54x = 9,464.61
  5. Step 5: Solve for x
    x = 9,464.61/80.54
  6. Step 6: Final answer
    x = 117.51

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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.