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Finding the Fourth Proportional to 88.93, 122.82 and 83.47

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Solution

The fourth proportional to 88.93, 122.82 and 83.47 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.93 : 122.82 = 83.47 : x
  2. Step 2: Convert to fraction form
    88.93/122.82 = 83.47/x
  3. Step 3: Cross multiply
    88.93x = 122.82 × 83.47
  4. Step 4: Simplify right side
    88.93x = 10,251.79
  5. Step 5: Solve for x
    x = 10,251.79/88.93
  6. Step 6: Final answer
    x = 115.28

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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.