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Finding the Fourth Proportional to 88.05, 121.41 and 76.43

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Solution

The fourth proportional to 88.05, 121.41 and 76.43 is: 105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.05 : 121.41 = 76.43 : x
  2. Step 2: Convert to fraction form
    88.05/121.41 = 76.43/x
  3. Step 3: Cross multiply
    88.05x = 121.41 × 76.43
  4. Step 4: Simplify right side
    88.05x = 9,278.76
  5. Step 5: Solve for x
    x = 9,278.76/88.05
  6. Step 6: Final answer
    x = 105.38

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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.