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Finding the Fourth Proportional to 82.40, 122.88 and 80.16

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Solution

The fourth proportional to 82.40, 122.88 and 80.16 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 122.88 = 80.16 : x
  2. Step 2: Convert to fraction form
    82.40/122.88 = 80.16/x
  3. Step 3: Cross multiply
    82.40x = 122.88 × 80.16
  4. Step 4: Simplify right side
    82.40x = 9,850.06
  5. Step 5: Solve for x
    x = 9,850.06/82.40
  6. Step 6: Final answer
    x = 119.54

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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.