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Finding the Fourth Proportional to 82.02, 122.76 and 75.24

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Solution

The fourth proportional to 82.02, 122.76 and 75.24 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 122.76 = 75.24 : x
  2. Step 2: Convert to fraction form
    82.02/122.76 = 75.24/x
  3. Step 3: Cross multiply
    82.02x = 122.76 × 75.24
  4. Step 4: Simplify right side
    82.02x = 9,236.46
  5. Step 5: Solve for x
    x = 9,236.46/82.02
  6. Step 6: Final answer
    x = 112.61

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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.