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Finding the Fourth Proportional to 88.38, 121.97 and 49.57

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Solution

The fourth proportional to 88.38, 121.97 and 49.57 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.38 : 121.97 = 49.57 : x
  2. Step 2: Convert to fraction form
    88.38/121.97 = 49.57/x
  3. Step 3: Cross multiply
    88.38x = 121.97 × 49.57
  4. Step 4: Simplify right side
    88.38x = 6,046.05
  5. Step 5: Solve for x
    x = 6,046.05/88.38
  6. Step 6: Final answer
    x = 68.41

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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.