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Finding the Fourth Proportional to 83.04, 114.11 and 66.64

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Solution

The fourth proportional to 83.04, 114.11 and 66.64 is: 91.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 114.11 = 66.64 : x
  2. Step 2: Convert to fraction form
    83.04/114.11 = 66.64/x
  3. Step 3: Cross multiply
    83.04x = 114.11 × 66.64
  4. Step 4: Simplify right side
    83.04x = 7,604.14
  5. Step 5: Solve for x
    x = 7,604.14/83.04
  6. Step 6: Final answer
    x = 91.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.