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Finding the Fourth Proportional to 83.16, 114.75 and 66.78

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Solution

The fourth proportional to 83.16, 114.75 and 66.78 is: 92.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 114.75 = 66.78 : x
  2. Step 2: Convert to fraction form
    83.16/114.75 = 66.78/x
  3. Step 3: Cross multiply
    83.16x = 114.75 × 66.78
  4. Step 4: Simplify right side
    83.16x = 7,663.01
  5. Step 5: Solve for x
    x = 7,663.01/83.16
  6. Step 6: Final answer
    x = 92.15

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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.