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Finding the Fourth Proportional to 88.69, 122.95 and 83.83

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Solution

The fourth proportional to 88.69, 122.95 and 83.83 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.69 : 122.95 = 83.83 : x
  2. Step 2: Convert to fraction form
    88.69/122.95 = 83.83/x
  3. Step 3: Cross multiply
    88.69x = 122.95 × 83.83
  4. Step 4: Simplify right side
    88.69x = 10,306.90
  5. Step 5: Solve for x
    x = 10,306.90/88.69
  6. Step 6: Final answer
    x = 116.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.