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Finding the Fourth Proportional to 81.84, 122.48 and 75.18

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Solution

The fourth proportional to 81.84, 122.48 and 75.18 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 122.48 = 75.18 : x
  2. Step 2: Convert to fraction form
    81.84/122.48 = 75.18/x
  3. Step 3: Cross multiply
    81.84x = 122.48 × 75.18
  4. Step 4: Simplify right side
    81.84x = 9,208.05
  5. Step 5: Solve for x
    x = 9,208.05/81.84
  6. Step 6: Final answer
    x = 112.51

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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.