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Finding the Fourth Proportional to 83.38, 115.07 and 54.32

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Solution

The fourth proportional to 83.38, 115.07 and 54.32 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.38 : 115.07 = 54.32 : x
  2. Step 2: Convert to fraction form
    83.38/115.07 = 54.32/x
  3. Step 3: Cross multiply
    83.38x = 115.07 × 54.32
  4. Step 4: Simplify right side
    83.38x = 6,250.60
  5. Step 5: Solve for x
    x = 6,250.60/83.38
  6. Step 6: Final answer
    x = 74.97

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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.