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Finding the Fourth Proportional to 88.21, 121.78 and 55.49

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Solution

The fourth proportional to 88.21, 121.78 and 55.49 is: 76.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.21 : 121.78 = 55.49 : x
  2. Step 2: Convert to fraction form
    88.21/121.78 = 55.49/x
  3. Step 3: Cross multiply
    88.21x = 121.78 × 55.49
  4. Step 4: Simplify right side
    88.21x = 6,757.57
  5. Step 5: Solve for x
    x = 6,757.57/88.21
  6. Step 6: Final answer
    x = 76.61

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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.