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Finding the Fourth Proportional to 88.05, 121.29 and 82.38

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Solution

The fourth proportional to 88.05, 121.29 and 82.38 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.05 : 121.29 = 82.38 : x
  2. Step 2: Convert to fraction form
    88.05/121.29 = 82.38/x
  3. Step 3: Cross multiply
    88.05x = 121.29 × 82.38
  4. Step 4: Simplify right side
    88.05x = 9,991.87
  5. Step 5: Solve for x
    x = 9,991.87/88.05
  6. Step 6: Final answer
    x = 113.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.