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Finding the Fourth Proportional to 83.69, 115.57 and 66.30

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Solution

The fourth proportional to 83.69, 115.57 and 66.30 is: 91.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.69 : 115.57 = 66.30 : x
  2. Step 2: Convert to fraction form
    83.69/115.57 = 66.30/x
  3. Step 3: Cross multiply
    83.69x = 115.57 × 66.30
  4. Step 4: Simplify right side
    83.69x = 7,662.13
  5. Step 5: Solve for x
    x = 7,662.13/83.69
  6. Step 6: Final answer
    x = 91.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.